# How do you solve 4(3-y)+y = 22+2y?

Jun 23, 2015

I found: $y = - 2$

#### Explanation:

First multiply the $4$:
$12 - 4 y + y = 22 + 2 y$
now collect all the $y$ on one side (left for example):
$- 4 y + y - 2 y = - 12 + 22$
$- 5 y = 10$
$y = \frac{10}{-} 5 = - 2$

Jun 23, 2015

$y = \left(- 2\right)$

#### Explanation:

$4 \left(3 - y\right) + y = 22 + 2 y$
multiply out the first term:
$\textcolor{w h i t e}{\text{XXXX}}$$12 - 4 y + y = 22 + 2 y$
combine the $y$ terms on the left side
$\textcolor{w h i t e}{\text{XXXX}}$$12 - 3 y = 22 + 2 y$
add $3 y$ and subtract $22$ from both sides
$\textcolor{w h i t e}{\text{XXXX}}$$- 10 = 5 y$
divide both sides by $5$ (and reverse equation for more normal form)
$\textcolor{w h i t e}{\text{XXXX}}$$y = - 2$
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