# How do you simplify (2y)/(y-5)+10/(5-y)?

Dec 21, 2016

The denominators become the same when you multiply the second term by -1.

#### Explanation:

Given: $\frac{2 y}{y - 5} + \frac{10}{5 - y} =$

$\frac{2 y}{y - 5} - \frac{10}{y - 5} =$

$\frac{2 y - 10}{y - 5} =$

$\frac{2 \left(y - 5\right)}{y - 5} = 2$