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

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


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

Reorder the terms:
-4(-2 + 5y) + -1y = 4(y + -2)
(-2 * -4 + 5y * -4) + -1y = 4(y + -2)
(8 + -20y) + -1y = 4(y + -2)

Combine like terms: -20y + -1y = -21y
8 + -21y = 4(y + -2)

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

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

Combine like terms: -21y + -4y = -25y
8 + -25y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
8 + -25y = -8 + 0
8 + -25y = -8

Add '-8' to each side of the equation.
8 + -8 + -25y = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -25y = -8 + -8
-25y = -8 + -8

Combine like terms: -8 + -8 = -16
-25y = -16

Divide each side by '-25'.
y = 0.64

Simplifying
y = 0.64

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