9(y+6)-6(y-4)=

Solution for 9(y+6)-6(y-4)= equation:

Simplifying
9(y + 6) + -6(y + -4) = 0

Reorder the terms:
9(6 + y) + -6(y + -4) = 0
(6 * 9 + y * 9) + -6(y + -4) = 0
(54 + 9y) + -6(y + -4) = 0

Reorder the terms:
54 + 9y + -6(-4 + y) = 0
54 + 9y + (-4 * -6 + y * -6) = 0
54 + 9y + (24 + -6y) = 0

Reorder the terms:
54 + 24 + 9y + -6y = 0

Combine like terms: 54 + 24 = 78
78 + 9y + -6y = 0

Combine like terms: 9y + -6y = 3y
78 + 3y = 0

Solving
78 + 3y = 0

Solving for variable 'y'.

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

Add '-78' to each side of the equation.
78 + -78 + 3y = 0 + -78

Combine like terms: 78 + -78 = 0
0 + 3y = 0 + -78
3y = 0 + -78

Combine like terms: 0 + -78 = -78
3y = -78

Divide each side by '3'.
y = -26

Simplifying
y = -26