12y-9(3y-12)=78

Solution for 12y-9(3y-12)=78 equation:

Simplifying
12y + -9(3y + -12) = 78

Reorder the terms:
12y + -9(-12 + 3y) = 78
12y + (-12 * -9 + 3y * -9) = 78
12y + (108 + -27y) = 78

Reorder the terms:
108 + 12y + -27y = 78

Combine like terms: 12y + -27y = -15y
108 + -15y = 78

Solving
108 + -15y = 78

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-108' to each side of the equation.
108 + -108 + -15y = 78 + -108

Combine like terms: 108 + -108 = 0
0 + -15y = 78 + -108
-15y = 78 + -108

Combine like terms: 78 + -108 = -30
-15y = -30

Divide each side by '-15'.
y = 2

Simplifying
y = 2