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

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


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

Reorder the terms:
4y + -4(-5 + 5y) = 2 + -4(-2 + -1y)
4y + (-5 * -4 + 5y * -4) = 2 + -4(-2 + -1y)
4y + (20 + -20y) = 2 + -4(-2 + -1y)

Reorder the terms:
20 + 4y + -20y = 2 + -4(-2 + -1y)

Combine like terms: 4y + -20y = -16y
20 + -16y = 2 + -4(-2 + -1y)
20 + -16y = 2 + (-2 * -4 + -1y * -4)
20 + -16y = 2 + (8 + 4y)

Combine like terms: 2 + 8 = 10
20 + -16y = 10 + 4y

Solving
20 + -16y = 10 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
20 + -16y + -4y = 10 + 4y + -4y

Combine like terms: -16y + -4y = -20y
20 + -20y = 10 + 4y + -4y

Combine like terms: 4y + -4y = 0
20 + -20y = 10 + 0
20 + -20y = 10

Add '-20' to each side of the equation.
20 + -20 + -20y = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -20y = 10 + -20
-20y = 10 + -20

Combine like terms: 10 + -20 = -10
-20y = -10

Divide each side by '-20'.
y = 0.5

Simplifying
y = 0.5

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