You are both correct.
As you stated addition is commutative in the real number system so that x+y = y+x.
However, your teacher is trying to teach you a very important lesson about translation of English into mathematics which works better if you translate directly.

Paul M.
02/11/19
Mikaekae E.
Okay. But if that's true then "a number added to 10" would be y+10 because that is a number added to 10, in that order. Is it not? I'm just trying to figure out how to teach this her way so as not to confuse the students.02/11/19