Question

Solve for y.
6(y-9)=3y-36
Simplify your answer as much as possible.
y= ?

Answer 1

The value of y after the given equation is simplified will be y=6

Explanation:

Greetings !

`6(y -9) = 3y-36...the \: given \: expression \\ 6y - 54 = 3y - 36...apply \: the \: distributive \: law \: a(b - c) = ab - ac \\ 6y - 54 + 54 = 3y - 36 + 54...add \: both \: sides \: 54 \\ 6y = 3y + 18 \\6y - 3y = 3y + 18 - 3y...subtract \: 3y \: from \: both \: sides \\ 3y = 18 \\ (3y)/(3) = (18)/(3) ...divide \: both \: sides \: by \: 3 \\ y = 6...simplified`