-5(2y-8)-y=-4(y-5)

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Solution for -5(2y-8)-y=-4(y-5) equation:


Simplifying
-5(2y + -8) + -1y = -4(y + -5)

Reorder the terms:
-5(-8 + 2y) + -1y = -4(y + -5)
(-8 * -5 + 2y * -5) + -1y = -4(y + -5)
(40 + -10y) + -1y = -4(y + -5)

Combine like terms: -10y + -1y = -11y
40 + -11y = -4(y + -5)

Reorder the terms:
40 + -11y = -4(-5 + y)
40 + -11y = (-5 * -4 + y * -4)
40 + -11y = (20 + -4y)

Solving
40 + -11y = 20 + -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.
40 + -11y + 4y = 20 + -4y + 4y

Combine like terms: -11y + 4y = -7y
40 + -7y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
40 + -7y = 20 + 0
40 + -7y = 20

Add '-40' to each side of the equation.
40 + -40 + -7y = 20 + -40

Combine like terms: 40 + -40 = 0
0 + -7y = 20 + -40
-7y = 20 + -40

Combine like terms: 20 + -40 = -20
-7y = -20

Divide each side by '-7'.
y = 2.857142857

Simplifying
y = 2.857142857

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