Simplify (2y)/(y^2-5y)-(-3y)/(y-5)

$\frac{2 y}{y^{2} - 5 y} - \frac{- 3 y}{y - 5}$

Simplify each term.

Factor $y$ out of $y^{2} - 5 y$ .

Factor $y$ out of $y^{2}$ .

$\frac{2 y}{y \cdot y - 5 y} - \frac{- 3 y}{y - 5}$

Factor $y$ out of $- 5 y$ .

$\frac{2 y}{y \cdot y + y \cdot - 5} - \frac{- 3 y}{y - 5}$

Factor $y$ out of $y \cdot y + y \cdot - 5$ .

$\frac{2 y}{y (y - 5)} - \frac{- 3 y}{y - 5}$

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{2 y}{y (y - 5)} - \frac{- 3 y}{y - 5}$

Rewrite the expression.

$\frac{2}{y - 5} - \frac{- 3 y}{y - 5}$

Move the negative in front of the fraction.

$\frac{2}{y - 5} - - \frac{(3) y}{y - 5}$

Multiply $- - \frac{3 y}{y - 5}$ .

Multiply $- 1$ by $- 1$ .

$\frac{2}{y - 5} + 1 \frac{3 y}{y - 5}$

Multiply $\frac{3 y}{y - 5}$ by $1$ .

$\frac{2}{y - 5} + \frac{3 y}{y - 5}$

Combine the numerators over the common denominator.

$\frac{2 + 3 y}{y - 5}$