# How do you solve 1/(6y) + 8 = 10 - 2/(3y)?

Feb 25, 2016

$y = \frac{2 + \frac{1}{2}}{6} = 0.41666667$

#### Explanation:

$\frac{1}{6 y} + \frac{2}{3 y} = 10 - 8$

$\frac{1}{6 y} + \frac{4}{6 y} = 2$

$\frac{5}{6 y} = 2$

$\frac{6 y}{5} = \frac{1}{2}$

$y = \frac{5 \cdot 1}{6 \cdot 2} = 0.41666667$