# How do you solve 6( 3x - 2y ) - ( x + 7y )?

Oct 6, 2017

$17 x - 19 y$

#### Explanation:

Start by distributing the 6:

$\textcolor{red}{6 \left(3 x - 2 y\right)} - \left(x + 7 y\right)$

$= \textcolor{red}{18 x - 12 y} - \left(x + 7 y\right)$

Then distribute the negative 1:

$18 x - 12 y \textcolor{b l u e}{- 1 \left(x + 7 y\right)}$

$= 18 x - 12 y \textcolor{b l u e}{- x - 7 y}$

Combine like terms:

$= 17 x - 19 y$

Oct 6, 2017

$17 x - 19 y$

#### Explanation:

You can find the answer using the distributive property. This means that the $2$ terms inside the brackets are multiplied by what's outside the brackets.

Therefore, the $3 x$ and the $- 2 y$ are multiplied by $6$, and the $x$ and $7 y$ are multiplied by $- 1$. Then you gather like terms to get your answer of $17 x - 19 y$.

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

$18 x - 12 y - x - 7 y$

$17 x - 19 y$