# How do you solve 12(5 + 2y) = 4y - (6 - 9y)?

Mar 17, 2018

$y = - 6$

#### Explanation:

$12 \left(5 + 2 y\right) = 4 y - \left(6 - 9 y\right)$

$\implies 60 + 24 y = 4 y - 6 + 9 y$

$\implies 60 + 24 y = 13 y - 6$

$\implies 24 y - 13 y = - 60 - 6$

$\implies 11 y = - 66$

$\implies y = - \frac{66}{11}$

$\implies y = - 6$

Mar 17, 2018

$y = - 6$

#### Explanation:

$12 \left(5 + 2 y\right) = 4 y - \left(6 - 9 y\right)$

$60 + 24 y = 4 y - 6 + 9 y$

$60 + 24 y = 13 y - 6$

$24 y - 13 y = - 6 - 60$

$11 y = - 66$

$\frac{11 y}{11} = - \frac{66}{11}$

$\frac{\cancel{11} y}{\cancel{11}} = - \frac{66}{11}$

$y = - 6$