# How do you solve 2/3y-6=12?

Oct 27, 2016

$y = 27$

#### Explanation:

First add $6$ to each side to give:

$\left(\frac{2}{3}\right) y = 18$

Then multiple each side by $\frac{3}{2}$ to give:

$y = 27$

Oct 27, 2016

Work backwards to isolate y ( PE SADM)

#### Explanation:

Do parenthesis and then use the order of operations backwards.

SA comes first so do the subtraction and addition first. The opposite of of -6 is + 6 so add 6 to both sides.

$\frac{2}{3} \times y - 6 + 6 = 12 + 6$ This results in

$\frac{2}{3} \times y = 18$

Next comes DM so divide and multiply by the opposite.

The opposite or inverse of $\frac{2}{3}$ is $\frac{3}{2}$ so multiply both sides by $\frac{3}{2}$

$\frac{2}{3} \times \frac{3}{2} \times y = 18 \times \frac{3}{2}$ : $\frac{2}{3} \times \frac{3}{2} = 1$ so

$$y  =  27