4-8(2y-2)=-2(-y-3)+5

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Solution for 4-8(2y-2)=-2(-y-3)+5 equation: 


Simplifying
4 + -8(2y + -2) = -2(-1y + -3) + 5

Reorder the terms:
4 + -8(-2 + 2y) = -2(-1y + -3) + 5
4 + (-2 * -8 + 2y * -8) = -2(-1y + -3) + 5
4 + (16 + -16y) = -2(-1y + -3) + 5

Combine like terms: 4 + 16 = 20
20 + -16y = -2(-1y + -3) + 5

Reorder the terms:
20 + -16y = -2(-3 + -1y) + 5
20 + -16y = (-3 * -2 + -1y * -2) + 5
20 + -16y = (6 + 2y) + 5

Reorder the terms:
20 + -16y = 6 + 5 + 2y

Combine like terms: 6 + 5 = 11
20 + -16y = 11 + 2y

Solving
20 + -16y = 11 + 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.
20 + -16y + -2y = 11 + 2y + -2y

Combine like terms: -16y + -2y = -18y
20 + -18y = 11 + 2y + -2y

Combine like terms: 2y + -2y = 0
20 + -18y = 11 + 0
20 + -18y = 11

Add '-20' to each side of the equation.
20 + -20 + -18y = 11 + -20

Combine like terms: 20 + -20 = 0
0 + -18y = 11 + -20
-18y = 11 + -20

Combine like terms: 11 + -20 = -9
-18y = -9

Divide each side by '-18'.
y = 0.5

Simplifying
y = 0.5

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