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

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Solution for 4(y+1)=-2(4-y) equation: 


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

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

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

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

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

Add '-4' to each side of the equation.
4 + -4 + 2y = -8 + -4

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

Combine like terms: -8 + -4 = -12
2y = -12

Divide each side by '2'.
y = -6

Simplifying
y = -6

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