3(2y-2)=5(y+2)

Solution for 3(2y-2)=5(y+2) equation:

Simplifying
3(2y + -2) = 5(y + 2)

Reorder the terms:
3(-2 + 2y) = 5(y + 2)
(-2 * 3 + 2y * 3) = 5(y + 2)
(-6 + 6y) = 5(y + 2)

Reorder the terms:
-6 + 6y = 5(2 + y)
-6 + 6y = (2 * 5 + y * 5)
-6 + 6y = (10 + 5y)

Solving
-6 + 6y = 10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-6 + 6y + -5y = 10 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-6 + 1y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 1y = 10 + 0
-6 + 1y = 10

Add '6' to each side of the equation.
-6 + 6 + 1y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = 10 + 6
1y = 10 + 6

Combine like terms: 10 + 6 = 16
1y = 16

Divide each side by '1'.
y = 16

Simplifying
y = 16