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

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


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

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

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

Solving
8 + -4y = -8 + 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.
8 + -4y + -2y = -8 + 2y + -2y

Combine like terms: -4y + -2y = -6y
8 + -6y = -8 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + -6y = -8 + 0
8 + -6y = -8

Add '-8' to each side of the equation.
8 + -8 + -6y = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -6y = -8 + -8
-6y = -8 + -8

Combine like terms: -8 + -8 = -16
-6y = -16

Divide each side by '-6'.
y = 2.666666667

Simplifying
y = 2.666666667

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