-4y+2(-6y-4)=5-8(5-y)

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Solution for -4y+2(-6y-4)=5-8(5-y) equation: 


Simplifying
-4y + 2(-6y + -4) = 5 + -8(5 + -1y)

Reorder the terms:
-4y + 2(-4 + -6y) = 5 + -8(5 + -1y)
-4y + (-4 * 2 + -6y * 2) = 5 + -8(5 + -1y)
-4y + (-8 + -12y) = 5 + -8(5 + -1y)

Reorder the terms:
-8 + -4y + -12y = 5 + -8(5 + -1y)

Combine like terms: -4y + -12y = -16y
-8 + -16y = 5 + -8(5 + -1y)
-8 + -16y = 5 + (5 * -8 + -1y * -8)
-8 + -16y = 5 + (-40 + 8y)

Combine like terms: 5 + -40 = -35
-8 + -16y = -35 + 8y

Solving
-8 + -16y = -35 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-8 + -16y + -8y = -35 + 8y + -8y

Combine like terms: -16y + -8y = -24y
-8 + -24y = -35 + 8y + -8y

Combine like terms: 8y + -8y = 0
-8 + -24y = -35 + 0
-8 + -24y = -35

Add '8' to each side of the equation.
-8 + 8 + -24y = -35 + 8

Combine like terms: -8 + 8 = 0
0 + -24y = -35 + 8
-24y = -35 + 8

Combine like terms: -35 + 8 = -27
-24y = -27

Divide each side by '-24'.
y = 1.125

Simplifying
y = 1.125

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