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

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


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

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

Solving
-8 + 2y = -16 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-8 + 2y + 8y = -16 + -8y + 8y

Combine like terms: 2y + 8y = 10y
-8 + 10y = -16 + -8y + 8y

Combine like terms: -8y + 8y = 0
-8 + 10y = -16 + 0
-8 + 10y = -16

Add '8' to each side of the equation.
-8 + 8 + 10y = -16 + 8

Combine like terms: -8 + 8 = 0
0 + 10y = -16 + 8
10y = -16 + 8

Combine like terms: -16 + 8 = -8
10y = -8

Divide each side by '10'.
y = -0.8

Simplifying
y = -0.8

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