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

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

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

Reorder the terms:
4y + -4 + 4(2 + 3y) = -2(y + 3)
4y + -4 + (2 * 4 + 3y * 4) = -2(y + 3)
4y + -4 + (8 + 12y) = -2(y + 3)

Reorder the terms:
-4 + 8 + 4y + 12y = -2(y + 3)

Combine like terms: -4 + 8 = 4
4 + 4y + 12y = -2(y + 3)

Combine like terms: 4y + 12y = 16y
4 + 16y = -2(y + 3)

Reorder the terms:
4 + 16y = -2(3 + y)
4 + 16y = (3 * -2 + y * -2)
4 + 16y = (-6 + -2y)

Solving
4 + 16y = -6 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
4 + 16y + 2y = -6 + -2y + 2y

Combine like terms: 16y + 2y = 18y
4 + 18y = -6 + -2y + 2y

Combine like terms: -2y + 2y = 0
4 + 18y = -6 + 0
4 + 18y = -6

Add '-4' to each side of the equation.
4 + -4 + 18y = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 18y = -6 + -4
18y = -6 + -4

Combine like terms: -6 + -4 = -10
18y = -10

Divide each side by '18'.
y = -0.5555555556

Simplifying
y = -0.5555555556