2(3y-3)=3(y+11)

Solution for 2(3y-3)=3(y+11) equation:

Simplifying
2(3y + -3) = 3(y + 11)

Reorder the terms:
2(-3 + 3y) = 3(y + 11)
(-3 * 2 + 3y * 2) = 3(y + 11)
(-6 + 6y) = 3(y + 11)

Reorder the terms:
-6 + 6y = 3(11 + y)
-6 + 6y = (11 * 3 + y * 3)
-6 + 6y = (33 + 3y)

Solving
-6 + 6y = 33 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-6 + 6y + -3y = 33 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-6 + 3y = 33 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + 3y = 33 + 0
-6 + 3y = 33

Add '6' to each side of the equation.
-6 + 6 + 3y = 33 + 6

Combine like terms: -6 + 6 = 0
0 + 3y = 33 + 6
3y = 33 + 6

Combine like terms: 33 + 6 = 39
3y = 39

Divide each side by '3'.
y = 13

Simplifying
y = 13