In your standard view (with removed posts hidden by default): 190
What's being counted:
+0 upvote
+0 upvote
+0 upvote
+9 upvote
+60 upvote (x6 grouped together for convenience)
+30 upvote (x3 grouped together for convenience)
+0 upvote
+10 upvote
+80 upvote (x8 separate posts grouped together for convenience)
+5 upvote
+0 upvote
+10 upvote
-10 unupvote (deleted upvote from previous day)
-1 downvoted
-1 downvoted
-1 downvoted
-1 downvoted
-1 downvoted (now deleted)
-1 downvoted (now deleted)
+1 removed
+1 removed
+1 removed
+1 removed
So that day, in the end, resulted in you gaining an additional +4 reputation to compensate for the four downvotes that you had cast that day, resulting in a total of 204 reputation gained, and 4 reputation lost from downvoting.
You see 190 because that -10 for the unupvote doesn't actually count for that day. It's merely an informative record, telling you that you just lost (potentially) 10 reputation from an upvote that was cast on some other day. I say potentially because if you were capped on that other day, you may have gained it from another vote automatically an experienced no actual change.
In your view with removed posts shown: 192
What's being counted:
+0 upvote
+0 upvote
+0 upvote
+9 upvote
+60 upvote (x6 grouped together for convenience)
+30 upvote (x3 grouped together for convenience)
+0 upvote
+10 upvote
+80 upvote (x8 separate posts grouped together for convenience)
+5 upvote
+0 upvote
+10 upvote
-10 unupvote (deleted upvote from previous day)
-1 downvoted
-1 downvoted
-1 downvoted
-1 downvoted
-1 downvoted (now deleted)
-1 downvoted (now deleted)
+1 removed
+1 removed
+1 removed
+1 removed
Now, those six removed posts are being thrown into the mix too. That results in an additional -2 from the downvotes you cast, and an additional +4 from removed posts, resulting in a net of +2 in that total.
In the public view: 194
What's being counted:
+0 upvote
+0 upvote
+0 upvote
+9 upvote
+60 upvote (x6 grouped together for convenience)
+30 upvote (x3 grouped together for convenience)
+0 upvote
+10 upvote
+80 upvote (x8 separate posts grouped together for convenience)
+5 upvote
+0 upvote
+10 upvote
-10 unupvote (deleted upvote from previous day)
-1 downvoted
-1 downvoted
-1 downvoted
-1 downvoted
-1 downvoted (now deleted)
-1 downvoted (now deleted)
+1 removed
+1 removed
+1 removed
+1 removed
This one really gets interesting. Standard users do not have access to see the posts you've downvoted or see removed posts in other user's reputation history. So all of your downvoted and removed events get ignored when calculating the total of what another user sees. Since the system compensated you an additional +4 reputation past normal to account for those downvotes you cast, it looks like you've miraculously gained 204 reputation that day for no apparent reason (and of course, that unupvote knocks the total down to 194).
In a moderator's view: 198
What's being counted:
+0 upvote
+0 upvote
+0 upvote
+9 upvote
+60 upvote (x6 grouped together for convenience)
+30 upvote (x3 grouped together for convenience)
+0 upvote
+10 upvote
+80 upvote (x8 separate posts grouped together for convenience)
+5 upvote
+0 upvote
+10 upvote
-10 unupvote (deleted upvote from previous day)
-1 downvoted
-1 downvoted
-1 downvoted
-1 downvoted
-1 downvoted (now deleted)
-1 downvoted (now deleted)
+1 removed
+1 removed
+1 removed
+1 removed
Like regular users, moderators cannot see what posts you downvoted. But we can see removed posts in other user's profiles. Catch-22: since those removed posts regained you +1 reputation each because they were posts you had previously downvoted, those events still don't actually show up for moderators. They do, however, get calculated into the overall total for the day as being a removed post. This adds an additional +4 to our view of your reputation, making it look like you miraculously gained 208 reputation that day.
To answer your ultimate question, though: yes, you gained 200 reputation that day and it will count towards your Legendary badge. This is just one hell of a confusing mess caused by the reputation history.
:/
:/