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

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


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

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

Combine like terms: -20y + -1y = -21y
20 + -21y = -2(y + -4)

Reorder the terms:
20 + -21y = -2(-4 + y)
20 + -21y = (-4 * -2 + y * -2)
20 + -21y = (8 + -2y)

Solving
20 + -21y = 8 + -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.
20 + -21y + 2y = 8 + -2y + 2y

Combine like terms: -21y + 2y = -19y
20 + -19y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
20 + -19y = 8 + 0
20 + -19y = 8

Add '-20' to each side of the equation.
20 + -20 + -19y = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -19y = 8 + -20
-19y = 8 + -20

Combine like terms: 8 + -20 = -12
-19y = -12

Divide each side by '-19'.
y = 0.6315789474

Simplifying
y = 0.6315789474

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