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

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


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

Reorder the terms:
-5(-4 + 5y) + -1y = -4(y + -4)
(-4 * -5 + 5y * -5) + -1y = -4(y + -4)
(20 + -25y) + -1y = -4(y + -4)

Combine like terms: -25y + -1y = -26y
20 + -26y = -4(y + -4)

Reorder the terms:
20 + -26y = -4(-4 + y)
20 + -26y = (-4 * -4 + y * -4)
20 + -26y = (16 + -4y)

Solving
20 + -26y = 16 + -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 + -26y + 4y = 16 + -4y + 4y

Combine like terms: -26y + 4y = -22y
20 + -22y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
20 + -22y = 16 + 0
20 + -22y = 16

Add '-20' to each side of the equation.
20 + -20 + -22y = 16 + -20

Combine like terms: 20 + -20 = 0
0 + -22y = 16 + -20
-22y = 16 + -20

Combine like terms: 16 + -20 = -4
-22y = -4

Divide each side by '-22'.
y = 0.1818181818

Simplifying
y = 0.1818181818

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