# How do you solve 2y+2=5y+9?

Mar 30, 2017

Combine like terms and solve for y

$- 2 \frac{1}{3}$

#### Explanation:

$2 y + 2 = 5 y + 9$

Combine $2 y \mathmr{and} 5 y$ by subtracting $2 y$ from both sides.

$2 y - 2 y + 2 = 5 y - 2 y + 9 \text{ }$ This gives

$+ 2 = 3 y + 9 \text{ }$ This gives

$- 7 = 3 y \text{ }$ Divide both sides by 3

$- \frac{7}{3} = \frac{3 y}{3}$

$- 2 \frac{1}{3} = y$