# How do you solve \frac{3}{2y} = \frac{16}{y + 2}?

Sep 21, 2016

$y = \frac{6}{29}$

#### Explanation:

Turn the whole thing upside down

$\frac{2 y}{3} = \frac{y + 2}{16}$

Cross multiply

$16 \left(2 y\right) = 3 \left(y + 2\right)$

$32 y = 3 y + 6$

Subtract $3 y$ from both sides

$29 y = 6$

Divide both sides by 29

$y = \frac{6}{29}$