I saw this in an anime clip: the context was, "What're you making me say."
Is that simply a contraction or am I missing some conjugation or inflection here?
The first is the original and the second is what I think it could write out to...?
It is simply a contraction. (Well, I am not sure what word is phonologically correct. But, this change does not change its meaning.) We still use both expressions, but mainly left when it is pronounced.