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

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

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

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

Reorder the terms:
-6 + 3y = 2(6 + y)
-6 + 3y = (6 * 2 + y * 2)
-6 + 3y = (12 + 2y)

Solving
-6 + 3y = 12 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-6 + 3y + -2y = 12 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-6 + 1y = 12 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 1y = 12 + 0
-6 + 1y = 12

Add '6' to each side of the equation.
-6 + 6 + 1y = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = 12 + 6
1y = 12 + 6

Combine like terms: 12 + 6 = 18
1y = 18

Divide each side by '1'.
y = 18

Simplifying
y = 18