-2(y-8)=4y-20

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Solution for -2(y-8)=4y-20 equation: 


Simplifying
-2(y + -8) = 4y + -20

Reorder the terms:
-2(-8 + y) = 4y + -20
(-8 * -2 + y * -2) = 4y + -20
(16 + -2y) = 4y + -20

Reorder the terms:
16 + -2y = -20 + 4y

Solving
16 + -2y = -20 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
16 + -2y + -4y = -20 + 4y + -4y

Combine like terms: -2y + -4y = -6y
16 + -6y = -20 + 4y + -4y

Combine like terms: 4y + -4y = 0
16 + -6y = -20 + 0
16 + -6y = -20

Add '-16' to each side of the equation.
16 + -16 + -6y = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -6y = -20 + -16
-6y = -20 + -16

Combine like terms: -20 + -16 = -36
-6y = -36

Divide each side by '-6'.
y = 6

Simplifying
y = 6

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