# How do you solve 11( 4- 6y ) + 5( 13y + 1) = 9?

May 30, 2018

$44 - 66 y + 65 y + 5 = 9$

$49 - y = 9$

$- y = - 40$

$y = 40$

#### Explanation:

The first step you need to do is distribute:

• $11 \cdot 4 \text{ }$ and $\text{ } 11 \cdot \left(- 6 y\right)$
• $5 \cdot 13 y \text{ }$ and $\text{ } 5 + 1$

This gives you:

$44 - 66 y + 65 y + 5 = 9$

You then need to simplify by joining the related variables:

$44 + 5 \text{ }$ and $\text{ } - 66 y + 65 y$

This gives you:

$49 - y = 9$

You then need to subtract $49$ from both sides:

$- y = - 40$

You need to divide both sides by $- 1$ to get $y$ positive. This will give you the answer of

$y = 40$