# How do you simplify -3/5 (20x-15y)?

Feb 25, 2017

See the entire simplification process below:

#### Explanation:

Multiply each term within the parenthesis by $\textcolor{red}{- \frac{3}{5}}$:

$\textcolor{red}{- \frac{3}{5}} \left(20 x - 15 y\right)$ becomes:

$\left(\textcolor{red}{- \frac{3}{5}} \times 20 x\right) - \left(\textcolor{red}{- \frac{3}{5}} \times 15 y\right)$

$\left(\textcolor{red}{- \frac{3}{\cancel{5}}} \times \textcolor{red}{\cancel{\textcolor{b l a c k}{20}}} 4 x\right) - \left(\textcolor{red}{- \frac{3}{\cancel{5}}} \times \textcolor{red}{\cancel{\textcolor{b l a c k}{15}}} 3 y\right)$

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

$- 12 x - \left(- 9 y\right)$

$- 12 x + 9 y$