3y-6+5(2y+2)=-3(y+2)

Solution for 3y-6+5(2y+2)=-3(y+2) equation:

Simplifying
3y + -6 + 5(2y + 2) = -3(y + 2)

Reorder the terms:
3y + -6 + 5(2 + 2y) = -3(y + 2)
3y + -6 + (2 * 5 + 2y * 5) = -3(y + 2)
3y + -6 + (10 + 10y) = -3(y + 2)

Reorder the terms:
-6 + 10 + 3y + 10y = -3(y + 2)

Combine like terms: -6 + 10 = 4
4 + 3y + 10y = -3(y + 2)

Combine like terms: 3y + 10y = 13y
4 + 13y = -3(y + 2)

Reorder the terms:
4 + 13y = -3(2 + y)
4 + 13y = (2 * -3 + y * -3)
4 + 13y = (-6 + -3y)

Solving
4 + 13y = -6 + -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.
4 + 13y + 3y = -6 + -3y + 3y

Combine like terms: 13y + 3y = 16y
4 + 16y = -6 + -3y + 3y

Combine like terms: -3y + 3y = 0
4 + 16y = -6 + 0
4 + 16y = -6

Add '-4' to each side of the equation.
4 + -4 + 16y = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 16y = -6 + -4
16y = -6 + -4

Combine like terms: -6 + -4 = -10
16y = -10

Divide each side by '16'.
y = -0.625

Simplifying
y = -0.625