# How do you solve 1/3y + 1/4 = 5/12?

Jul 28, 2015

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

#### Explanation:

$\frac{1}{3} y + \frac{1}{4} = \frac{5}{12}$

Simplify $\frac{1}{3} y$ to $\frac{y}{3}$.

$\frac{y}{3} + \frac{1}{4} = \frac{5}{12}$

Multiply both sides by $3$.

$y + \frac{3}{4} = \frac{15}{12}$

Simplify $\frac{15}{12}$ to $\frac{5}{4}$.

$y + \frac{3}{4} = \frac{5}{4}$

Subtract $\frac{3}{4}$ from both sides.

$y = \frac{5}{4} - \frac{3}{4}$

$y = \frac{2}{4}$ =

Simplify $\frac{2}{4}$ to $\frac{1}{2}$.

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