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

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


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

Reorder the terms:
2y + -4(4 + 2y) = -4 + -2(-1 + -1y)
2y + (4 * -4 + 2y * -4) = -4 + -2(-1 + -1y)
2y + (-16 + -8y) = -4 + -2(-1 + -1y)

Reorder the terms:
-16 + 2y + -8y = -4 + -2(-1 + -1y)

Combine like terms: 2y + -8y = -6y
-16 + -6y = -4 + -2(-1 + -1y)
-16 + -6y = -4 + (-1 * -2 + -1y * -2)
-16 + -6y = -4 + (2 + 2y)

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

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

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

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

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

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

Combine like terms: -2 + 16 = 14
-8y = 14

Divide each side by '-8'.
y = -1.75

Simplifying
y = -1.75

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