simplify each expression

Question

Y/2x+2y Times x+y/y^2

Answer 1

      y       x+y
-------- • -----
2x+2y      y²



Factor each expression

   y (x+y)
-------------
2 (x+y) y y


Notice that the factors  y and (x+y) are in both the numerator and denominator

   y (x+y)
-------------
2 (x+y) y y


So we are left with
 1
---
2y