# How do you solve for y in y - z = 5 - 1/2y?

May 12, 2016

color(green)(y = 2 / 3 (5 + z)

#### Explanation:

$y - z = 5 - \frac{1}{2} y$

color(green)(y) -z = 5 - color(green)(1 / 2 y

color(green)((y + 1 / 2 y ) = 5 + z

$\frac{2}{2} y + \frac{1}{2} y = 5 + z$

$\frac{3}{2} y = 5 + z$

color(green)(y = 2 / 3 (5 + z)