# How do you solve 4y + 7y = -19?

Jan 12, 2017

See the full solution process below

#### Explanation:

Step 1) Combine the like terms:

$\left(4 + 7\right) y = - 19$

$11 y = - 19$

Step 2) Divide each side of the equation by $\textcolor{red}{11}$ to solve for $y$ and keep the equation balanced:

$\frac{11 y}{\textcolor{red}{11}} = - \frac{19}{\textcolor{red}{11}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{11}}} y}{\cancel{\textcolor{red}{11}}} = - \frac{19}{\textcolor{red}{11}}$

$y = - \frac{19}{11}$