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

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


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

Reorder the terms:
-2(-8 + y) = 6(6 + -1y) + -4
(-8 * -2 + y * -2) = 6(6 + -1y) + -4
(16 + -2y) = 6(6 + -1y) + -4
16 + -2y = (6 * 6 + -1y * 6) + -4
16 + -2y = (36 + -6y) + -4

Reorder the terms:
16 + -2y = 36 + -4 + -6y

Combine like terms: 36 + -4 = 32
16 + -2y = 32 + -6y

Solving
16 + -2y = 32 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
16 + -2y + 6y = 32 + -6y + 6y

Combine like terms: -2y + 6y = 4y
16 + 4y = 32 + -6y + 6y

Combine like terms: -6y + 6y = 0
16 + 4y = 32 + 0
16 + 4y = 32

Add '-16' to each side of the equation.
16 + -16 + 4y = 32 + -16

Combine like terms: 16 + -16 = 0
0 + 4y = 32 + -16
4y = 32 + -16

Combine like terms: 32 + -16 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4

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