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

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


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

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

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

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

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

Combine like terms: 4y + -4y = 0
-8 + -2y = 32 + 0
-8 + -2y = 32

Add '8' to each side of the equation.
-8 + 8 + -2y = 32 + 8

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

Combine like terms: 32 + 8 = 40
-2y = 40

Divide each side by '-2'.
y = -20

Simplifying
y = -20

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