# How do you solve abs[4y] = 2?

Apr 14, 2018

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

#### Explanation:

$| 4 y | = 2$

To solve absolute value equations, we have to set the quantity inside the absolute value to both the positive and negative quantity of the other side of the equation.

So we can rewrite this as:
$4 y = 2$ and $4 y = - 2$

And now we solve:
$\frac{4 y}{\textcolor{red}{4}} = \frac{2}{\textcolor{red}{4}}$

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

$\frac{4 y}{\textcolor{red}{4}} = \frac{- 2}{\textcolor{red}{4}}$

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

Therefore, the answers are $y = \frac{1}{2}$ and $- \frac{1}{2}$

Hope this helps!