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

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

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

Reorder the terms:
3(-6 + y) = 2(3 + y)
(-6 * 3 + y * 3) = 2(3 + y)
(-18 + 3y) = 2(3 + y)
-18 + 3y = (3 * 2 + y * 2)
-18 + 3y = (6 + 2y)

Solving
-18 + 3y = 6 + 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.
-18 + 3y + -2y = 6 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-18 + 1y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-18 + 1y = 6 + 0
-18 + 1y = 6

Add '18' to each side of the equation.
-18 + 18 + 1y = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 1y = 6 + 18
1y = 6 + 18

Combine like terms: 6 + 18 = 24
1y = 24

Divide each side by '1'.
y = 24

Simplifying
y = 24