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

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


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

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

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

Solving
4 + 2y = 16 + -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 + 2y + 2y = 16 + -2y + 2y

Combine like terms: 2y + 2y = 4y
4 + 4y = 16 + -2y + 2y

Combine like terms: -2y + 2y = 0
4 + 4y = 16 + 0
4 + 4y = 16

Add '-4' to each side of the equation.
4 + -4 + 4y = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 4y = 16 + -4
4y = 16 + -4

Combine like terms: 16 + -4 = 12
4y = 12

Divide each side by '4'.
y = 3

Simplifying
y = 3

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