# How do you solve  y+1/2 = 1-y/3?

Aug 9, 2016

$y = \frac{3}{8}$

#### Explanation:

Re-arrange the terms to have all the y terms on the left and the numbers on the right.
Sometimes things can be kept really simple..

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

$y + \frac{y}{3} = 1 - \frac{1}{2} \text{ ( y + one third of y = 4/3 y)}$

$\frac{4}{3} y = \frac{1}{2}$

$\frac{3}{4} \times \frac{4}{3} y = \frac{1}{2} \times \frac{3}{4}$

$y = \frac{3}{8}$