4y-4(2y+4)=-1-5(-4-y)

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Solution for 4y-4(2y+4)=-1-5(-4-y) equation: 


Simplifying
4y + -4(2y + 4) = -1 + -5(-4 + -1y)

Reorder the terms:
4y + -4(4 + 2y) = -1 + -5(-4 + -1y)
4y + (4 * -4 + 2y * -4) = -1 + -5(-4 + -1y)
4y + (-16 + -8y) = -1 + -5(-4 + -1y)

Reorder the terms:
-16 + 4y + -8y = -1 + -5(-4 + -1y)

Combine like terms: 4y + -8y = -4y
-16 + -4y = -1 + -5(-4 + -1y)
-16 + -4y = -1 + (-4 * -5 + -1y * -5)
-16 + -4y = -1 + (20 + 5y)

Combine like terms: -1 + 20 = 19
-16 + -4y = 19 + 5y

Solving
-16 + -4y = 19 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
-16 + -4y + -5y = 19 + 5y + -5y

Combine like terms: -4y + -5y = -9y
-16 + -9y = 19 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + -9y = 19 + 0
-16 + -9y = 19

Add '16' to each side of the equation.
-16 + 16 + -9y = 19 + 16

Combine like terms: -16 + 16 = 0
0 + -9y = 19 + 16
-9y = 19 + 16

Combine like terms: 19 + 16 = 35
-9y = 35

Divide each side by '-9'.
y = -3.888888889

Simplifying
y = -3.888888889

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