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

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


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

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

Combine like terms: -8y + 2y = -6y
16 + -6y = 2(y + 2)

Reorder the terms:
16 + -6y = 2(2 + y)
16 + -6y = (2 * 2 + y * 2)
16 + -6y = (4 + 2y)

Solving
16 + -6y = 4 + 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.
16 + -6y + -2y = 4 + 2y + -2y

Combine like terms: -6y + -2y = -8y
16 + -8y = 4 + 2y + -2y

Combine like terms: 2y + -2y = 0
16 + -8y = 4 + 0
16 + -8y = 4

Add '-16' to each side of the equation.
16 + -16 + -8y = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -8y = 4 + -16
-8y = 4 + -16

Combine like terms: 4 + -16 = -12
-8y = -12

Divide each side by '-8'.
y = 1.5

Simplifying
y = 1.5

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