-3(-7y+8)=2(y-4)-8

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Solution for -3(-7y+8)=2(y-4)-8 equation: 


Simplifying
-3(-7y + 8) = 2(y + -4) + -8

Reorder the terms:
-3(8 + -7y) = 2(y + -4) + -8
(8 * -3 + -7y * -3) = 2(y + -4) + -8
(-24 + 21y) = 2(y + -4) + -8

Reorder the terms:
-24 + 21y = 2(-4 + y) + -8
-24 + 21y = (-4 * 2 + y * 2) + -8
-24 + 21y = (-8 + 2y) + -8

Reorder the terms:
-24 + 21y = -8 + -8 + 2y

Combine like terms: -8 + -8 = -16
-24 + 21y = -16 + 2y

Solving
-24 + 21y = -16 + 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.
-24 + 21y + -2y = -16 + 2y + -2y

Combine like terms: 21y + -2y = 19y
-24 + 19y = -16 + 2y + -2y

Combine like terms: 2y + -2y = 0
-24 + 19y = -16 + 0
-24 + 19y = -16

Add '24' to each side of the equation.
-24 + 24 + 19y = -16 + 24

Combine like terms: -24 + 24 = 0
0 + 19y = -16 + 24
19y = -16 + 24

Combine like terms: -16 + 24 = 8
19y = 8

Divide each side by '19'.
y = 0.4210526316

Simplifying
y = 0.4210526316

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