3(2y-2)=5(y+3)-21

Solution for 3(2y-2)=5(y+3)-21 equation:

Simplifying
3(2y + -2) = 5(y + 3) + -21

Reorder the terms:
3(-2 + 2y) = 5(y + 3) + -21
(-2 * 3 + 2y * 3) = 5(y + 3) + -21
(-6 + 6y) = 5(y + 3) + -21

Reorder the terms:
-6 + 6y = 5(3 + y) + -21
-6 + 6y = (3 * 5 + y * 5) + -21
-6 + 6y = (15 + 5y) + -21

Reorder the terms:
-6 + 6y = 15 + -21 + 5y

Combine like terms: 15 + -21 = -6
-6 + 6y = -6 + 5y

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

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

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

Solving
6y = 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.
6y + -5y = 5y + -5y

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

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

Divide each side by '1'.
y = 0

Simplifying
y = 0