# How do you solve abs(4y-15)=13?

##### 1 Answer
Jun 1, 2018

$y = 7 , \frac{1}{2}$

#### Explanation:

Equations of the form $| x | = b$ can be rewritten as $x = \pm b$.

The absolute value bars go away, and we'll have two equations:

$4 y - 15 = 13$ and $4 y - 15 = - 13$

Solving the first one, we get

$4 y = 28$

$\textcolor{b l u e}{y = 7}$

Solving the second, we get

$4 y = 2$

$\textcolor{b l u e}{y = \frac{1}{2}}$

Our solutions are in blue.

Hope this helps!