4y+8-2(-4y-4)=2(y-1)

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Solution for 4y+8-2(-4y-4)=2(y-1) equation: 


Simplifying
4y + 8 + -2(-4y + -4) = 2(y + -1)

Reorder the terms:
4y + 8 + -2(-4 + -4y) = 2(y + -1)
4y + 8 + (-4 * -2 + -4y * -2) = 2(y + -1)
4y + 8 + (8 + 8y) = 2(y + -1)

Reorder the terms:
8 + 8 + 4y + 8y = 2(y + -1)

Combine like terms: 8 + 8 = 16
16 + 4y + 8y = 2(y + -1)

Combine like terms: 4y + 8y = 12y
16 + 12y = 2(y + -1)

Reorder the terms:
16 + 12y = 2(-1 + y)
16 + 12y = (-1 * 2 + y * 2)
16 + 12y = (-2 + 2y)

Solving
16 + 12y = -2 + 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.
16 + 12y + -2y = -2 + 2y + -2y

Combine like terms: 12y + -2y = 10y
16 + 10y = -2 + 2y + -2y

Combine like terms: 2y + -2y = 0
16 + 10y = -2 + 0
16 + 10y = -2

Add '-16' to each side of the equation.
16 + -16 + 10y = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 10y = -2 + -16
10y = -2 + -16

Combine like terms: -2 + -16 = -18
10y = -18

Divide each side by '10'.
y = -1.8

Simplifying
y = -1.8

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