Solve

8/y+4 = 7/y-7

y=84 did I solve this correctly?

Unless you tell us where parentheses go, we cannot tell you if it is correct or not.

Additional clarification of algebraic expressions with parentheses is often necessary when you type them out on a single line, as must be done here. In your textbook, they can be written in such a way that the meaning is clearer.