2(4-2y)=-2(y+5)

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Solution for 2(4-2y)=-2(y+5) equation: 


Simplifying
2(4 + -2y) = -2(y + 5)
(4 * 2 + -2y * 2) = -2(y + 5)
(8 + -4y) = -2(y + 5)

Reorder the terms:
8 + -4y = -2(5 + y)
8 + -4y = (5 * -2 + y * -2)
8 + -4y = (-10 + -2y)

Solving
8 + -4y = -10 + -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.
8 + -4y + 2y = -10 + -2y + 2y

Combine like terms: -4y + 2y = -2y
8 + -2y = -10 + -2y + 2y

Combine like terms: -2y + 2y = 0
8 + -2y = -10 + 0
8 + -2y = -10

Add '-8' to each side of the equation.
8 + -8 + -2y = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -2y = -10 + -8
-2y = -10 + -8

Combine like terms: -10 + -8 = -18
-2y = -18

Divide each side by '-2'.
y = 9

Simplifying
y = 9

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