# How do you solve 3( y - 5) - 7= - 7( - 4y + 4) - 9y?

Oct 9, 2016

$y = \frac{3}{8}$

#### Explanation:

Start on one side of the equation and combine any like terms. But first to do so, you have to distribute.

Starting on the left side of the equation, distribute $3$ throughout the set of parenthesis

$3 y - 15 - 7$

Now, you can combine $- 15 - 7$

$- 15 - 7 = - 22$

So, the left side now looks like: $3 y - 22 =$

Next, move to the right side of the equation and distribute $- 7$ throughout the set of parenthesis

$28 y - 28 - 9 y$

Combine like terms

$19 y - 28$

The full equation now looks like this:
$3 y - 22 = 19 y - 28$

To finish off, isolate $y$ by adding $22$ on both sides of the equation

$3 y = 19 y - 6$

Subtract $19 y$ from both sides of the equation

$- 16 y = - 6$

Divide by $16$ to isolate y
$y = \frac{3}{8}$