3(2y-2)=5(y+4)

Solution for 3(2y-2)=5(y+4) equation:

Simplifying
3(2y + -2) = 5(y + 4)

Reorder the terms:
3(-2 + 2y) = 5(y + 4)
(-2 * 3 + 2y * 3) = 5(y + 4)
(-6 + 6y) = 5(y + 4)

Reorder the terms:
-6 + 6y = 5(4 + y)
-6 + 6y = (4 * 5 + y * 5)
-6 + 6y = (20 + 5y)

Solving
-6 + 6y = 20 + 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 = 20 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-6 + 1y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 1y = 20 + 0
-6 + 1y = 20

Add '6' to each side of the equation.
-6 + 6 + 1y = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = 20 + 6
1y = 20 + 6

Combine like terms: 20 + 6 = 26
1y = 26

Divide each side by '1'.
y = 26

Simplifying
y = 26