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

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

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

Reorder the terms:
3(-2 + 3y) = 2(3y + 3)
(-2 * 3 + 3y * 3) = 2(3y + 3)
(-6 + 9y) = 2(3y + 3)

Reorder the terms:
-6 + 9y = 2(3 + 3y)
-6 + 9y = (3 * 2 + 3y * 2)
-6 + 9y = (6 + 6y)

Solving
-6 + 9y = 6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-6 + 9y + -6y = 6 + 6y + -6y

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

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

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

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

Combine like terms: 6 + 6 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4