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

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


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

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

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

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

Solving
20 + -21y = 8 + -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 + -21y + 4y = 8 + -4y + 4y

Combine like terms: -21y + 4y = -17y
20 + -17y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
20 + -17y = 8 + 0
20 + -17y = 8

Add '-20' to each side of the equation.
20 + -20 + -17y = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -17y = 8 + -20
-17y = 8 + -20

Combine like terms: 8 + -20 = -12
-17y = -12

Divide each side by '-17'.
y = 0.7058823529

Simplifying
y = 0.7058823529

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