# How do you solve 2/3 y - 6 = 2?

Oct 29, 2015

The answer is $y = 12$.

#### Explanation:

$\frac{2}{3} y - 6 = 2$

Simplify $\frac{2}{3} y$ to $\frac{2 y}{3}$.

Add $6$ to both sides.

$\frac{2 y}{3} = 2 + 6 =$

$\frac{2 y}{3} = 8$

Multiply both sides times $3$.

$\frac{2 y}{\cancel{3}} \cdot \cancel{3} = 8 \cdot 3 =$

$2 y = 24$

Divide both sides by $2$.

$y = \frac{24}{2} =$

$y = 12$