# How do you simplify 9(2y-4)-2(7y-12)?

Jul 1, 2018

$4 y - 12$

#### Explanation:

$9 \left(2 y - 4\right) - 2 \left(7 y - 12\right)$

To simplify this, use the distributive property:

Following this image, we know that:
$\textcolor{b l u e}{9 \left(2 y - 4\right) = \left(9 \cdot 2 y\right) + \left(9 \cdot - 4\right) = 18 y - 36}$
and
$\textcolor{b l u e}{- 2 \left(7 y - 12\right) = \left(- 2 \cdot 7 y\right) + \left(- 2 \cdot - 12\right) = - 14 y + 24}$

Therefore, the expression becomes:
$18 y - 36 - 14 y + 24$

Combine the like terms:
$4 y - 12$

Hope this helps!

Jul 9, 2018

$4 \left(y - 3\right)$

#### Explanation:

Let's distribute the $9$ and $- 2$ to their respective terms. We get

$18 y - 36 - 14 y + 24$

Next, we can combine our $y$ terms to get $4 y$ and our constants to get $- 12$. Thus, we have

$4 y - 12$

We can recognize that both terms have a $4$ in common, so we can factor that out to get

$4 \left(y - 3\right)$

Hope this helps!