# How do you solve y+1/5=-8/15?

Jan 21, 2017

$y = - \frac{11}{15}$

#### Explanation:

$y + \frac{1}{5} = - \frac{8}{15}$

Multiply all terms by $15$.

$15 y + \left(15 \times \frac{1}{5}\right) = - \left(15 \times \frac{8}{15}\right)$

$15 y + \left(3 \cancel{15} \times \frac{1}{\cancel{5}}\right) = - \left(\cancel{15} \times \frac{8}{\cancel{15}}\right)$

$15 y + 3 = - 8$

Subtract $3$ from each side.

$15 y = - 8 - 3$

$15 y = - \left(8 + 3\right)$

$15 y = - 11$

Divide both sides by $15$.

$y = - \frac{11}{15}$