# How do you solve 2( y - 6) + 3y = 2( y + 2) - y?

Mar 20, 2018

color(magenta)(y=4

#### Explanation:

$2 \left(y - 6\right) + 3 y = 2 \left(y + 2\right) - y$

Opening the brackets:

$2 y - 12 + 3 y = 2 y + 4 - y$

$5 y - 12 + 12 = y + 4 + 12$

$5 y = y + 16$

Subtracting y from both sides:

$5 y - y = y + 16 - y$

$4 y = 16$

Dividing both sides by 4:

$y = \frac{16}{4}$

color(magenta)(y=4
~Hope this helps! :)