# How do you solve 3/4y=24?

Nov 23, 2016

$y = \frac{1}{32}$ or $y = 32$

#### Explanation:

If this problem is $\frac{3}{4 y} = 24$ then you do the following to solve:

Multiply each side of the equation by $4 y$:

$\frac{4 y \cdot 3}{4 y} = 24 \cdot 4 y$

$3 = 96 y$

Now divide each side of the equation by 96:

$\frac{3}{96} = \frac{96 y}{96}$

$\frac{1}{32} = y$

However if this problem is #(3/4)y = 24 then you do the following to solve;

Multiply each side of the equation by $\frac{4}{3}$:

$\left(\frac{4}{3}\right) \left(\frac{3}{4}\right) y = \left(\frac{4}{3}\right) \cdot 24$

$\left(\frac{12}{12}\right) y = \frac{96}{3}$

$1 y = 32$

$y = 32$