Answer
$\displaystyle \frac{y}{y-5}$
Work Step by Step
Distribute $-1$ over the parentheses,
$\displaystyle \frac{2y}{y-5}-\frac{2}{y-5}-\frac{y-2}{y-5}$
... To add/subtract rational expressions with the same denominator,
add/subtract numerators and place the sum/difference over the common denominator.
$= \displaystyle \frac{2y-(2)-(y-2)}{y-5}$
$= \displaystyle \frac{2y-2-y+2}{y-5}$
= $\displaystyle \frac{y}{y-5}$