3(y+2)-6(y-4)=0

Solution for 3(y+2)-6(y-4)=0 equation:

Simplifying
3(y + 2) + -6(y + -4) = 0

Reorder the terms:
3(2 + y) + -6(y + -4) = 0
(2 * 3 + y * 3) + -6(y + -4) = 0
(6 + 3y) + -6(y + -4) = 0

Reorder the terms:
6 + 3y + -6(-4 + y) = 0
6 + 3y + (-4 * -6 + y * -6) = 0
6 + 3y + (24 + -6y) = 0

Reorder the terms:
6 + 24 + 3y + -6y = 0

Combine like terms: 6 + 24 = 30
30 + 3y + -6y = 0

Combine like terms: 3y + -6y = -3y
30 + -3y = 0

Solving
30 + -3y = 0

Solving for variable 'y'.

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

Add '-30' to each side of the equation.
30 + -30 + -3y = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -3y = 0 + -30
-3y = 0 + -30

Combine like terms: 0 + -30 = -30
-3y = -30

Divide each side by '-3'.
y = 10

Simplifying
y = 10