Answer
$\frac{7}{y-2}$
Work Step by Step
Rewrite the fractions to get a common denominator. $$\frac{10}{y-2}+\frac{3}{2-y}=\frac{10}{y-2}-\frac{3}{y-2}$$ Since the fractions, have the same denominator, they can be computed to get $\frac{10-3}{y-2}=\frac{7}{y-2}$