-3(y+2)=5y-6+2(4y+4)

Solution for -3(y+2)=5y-6+2(4y+4) equation:

Simplifying
-3(y + 2) = 5y + -6 + 2(4y + 4)

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

Reorder the terms:
-6 + -3y = 5y + -6 + 2(4 + 4y)
-6 + -3y = 5y + -6 + (4 * 2 + 4y * 2)
-6 + -3y = 5y + -6 + (8 + 8y)

Reorder the terms:
-6 + -3y = -6 + 8 + 5y + 8y

Combine like terms: -6 + 8 = 2
-6 + -3y = 2 + 5y + 8y

Combine like terms: 5y + 8y = 13y
-6 + -3y = 2 + 13y

Solving
-6 + -3y = 2 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
-6 + -3y + -13y = 2 + 13y + -13y

Combine like terms: -3y + -13y = -16y
-6 + -16y = 2 + 13y + -13y

Combine like terms: 13y + -13y = 0
-6 + -16y = 2 + 0
-6 + -16y = 2

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

Combine like terms: -6 + 6 = 0
0 + -16y = 2 + 6
-16y = 2 + 6

Combine like terms: 2 + 6 = 8
-16y = 8

Divide each side by '-16'.
y = -0.5

Simplifying
y = -0.5