# How do you simplify 4(3+7y)+6(2-y)?

Jun 30, 2018

$22 y + 24$

#### Explanation:

$4 \left(3 + 7 y\right) + 6 \left(2 - y\right)$

To simplify this, first use the distributive property (shown below) to simplify $4 \left(3 + 7 y\right)$ and $6 \left(2 - y\right)$:

Following this image, we know that:
$\textcolor{b l u e}{4 \left(3 + 7 y\right) = \left(4 \cdot 3\right) + \left(4 \cdot 7 y\right) = 12 + 28 y}$
and
$\textcolor{b l u e}{6 \left(2 - y\right) = \left(6 \cdot 2\right) + \left(6 \cdot - y\right) = 12 - 6 y}$

Combine the two expressions:
$12 + 28 y + 12 - 6 y$

Combine like terms:
$24 + 22 y$

$= 22 y + 24$

Hope this helps!