# How do you solve 1/2(6-y)=y?

Jul 28, 2016

See explanation

#### Explanation:

First, let's use the distributive property to simplify the equation:

$3 - \frac{1}{2} y = y$

Next, let's add $\frac{1}{2} y$ to each side:

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

Finally, let's multiply each side by $\frac{2}{3}$ since $\frac{3}{2} \cdot \frac{2}{3} = 1$:

$2 = y$