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

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


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

Reorder the terms:
-3(-4 + y) = 5(8 + -1y) + -8
(-4 * -3 + y * -3) = 5(8 + -1y) + -8
(12 + -3y) = 5(8 + -1y) + -8
12 + -3y = (8 * 5 + -1y * 5) + -8
12 + -3y = (40 + -5y) + -8

Reorder the terms:
12 + -3y = 40 + -8 + -5y

Combine like terms: 40 + -8 = 32
12 + -3y = 32 + -5y

Solving
12 + -3y = 32 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
12 + -3y + 5y = 32 + -5y + 5y

Combine like terms: -3y + 5y = 2y
12 + 2y = 32 + -5y + 5y

Combine like terms: -5y + 5y = 0
12 + 2y = 32 + 0
12 + 2y = 32

Add '-12' to each side of the equation.
12 + -12 + 2y = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = 32 + -12
2y = 32 + -12

Combine like terms: 32 + -12 = 20
2y = 20

Divide each side by '2'.
y = 10

Simplifying
y = 10

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