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

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


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

Reorder the terms:
-4(-8 + y) = 2(y + 4)
(-8 * -4 + y * -4) = 2(y + 4)
(32 + -4y) = 2(y + 4)

Reorder the terms:
32 + -4y = 2(4 + y)
32 + -4y = (4 * 2 + y * 2)
32 + -4y = (8 + 2y)

Solving
32 + -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.
32 + -4y + -2y = 8 + 2y + -2y

Combine like terms: -4y + -2y = -6y
32 + -6y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
32 + -6y = 8 + 0
32 + -6y = 8

Add '-32' to each side of the equation.
32 + -32 + -6y = 8 + -32

Combine like terms: 32 + -32 = 0
0 + -6y = 8 + -32
-6y = 8 + -32

Combine like terms: 8 + -32 = -24
-6y = -24

Divide each side by '-6'.
y = 4

Simplifying
y = 4

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