# How do you solve for y in (5/a) – (4/y) = (1/b)?

Jun 9, 2018

$y = \frac{4 a b}{5 b - a}$

#### Explanation:

We write the equation in this form

$\frac{5}{a} - \frac{1}{b} = \frac{4}{y}$
so
$\frac{5 b - a}{a b} = \frac{4}{y}$
thus

$y = \frac{4 a b}{5 b - a}$