# How do you solve 17=7+8y?

##### 1 Answer
Mar 29, 2018

$y = \frac{5}{4}$

#### Explanation:

Solve:

$17 = 7 + 8 y$

Switch sides.

$8 y + 7 = 17$

Subtract $7$ from both sides.

$8 y + \textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} - \textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} = 17 - 7$

Simplify.j

$8 y = 10$

Divide both sides by $8$.

$\frac{{\textcolor{red}{\cancel{\textcolor{b l a c k}{8}}}}^{1} y}{\textcolor{red}{\cancel{\textcolor{b l a c k}{8}}}} ^ 1 = \frac{10}{8}$

Simplify.

$y = \frac{10}{8}$

Reduce by dividing the numerator and denominator by $2$.

$y = \frac{10 \div 2}{8 \div 2}$

Simplify.

$y = \frac{5}{4}$