How do you solve 9y - 3( y - 3) = 27?

Oct 21, 2016

The solution of the equation is $y = 3$.

Explanation:

Begin by distributing the $- 3$. Then use inverse operations to solve the equation for $y$.

$9 y - 3 \left(y - 3\right) = 27$
$9 y - 3 y + 9 = 27$
$6 y + 9 = 27$
$6 y + 9 - 9 = 27 - 9$
$6 y = 18$
$\frac{6 y}{6} = \frac{18}{6}$
$y = 3$