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

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


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

Reorder the terms:
-4(-4 + 5y) + -1y = -2(y + -5)
(-4 * -4 + 5y * -4) + -1y = -2(y + -5)
(16 + -20y) + -1y = -2(y + -5)

Combine like terms: -20y + -1y = -21y
16 + -21y = -2(y + -5)

Reorder the terms:
16 + -21y = -2(-5 + y)
16 + -21y = (-5 * -2 + y * -2)
16 + -21y = (10 + -2y)

Solving
16 + -21y = 10 + -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.
16 + -21y + 2y = 10 + -2y + 2y

Combine like terms: -21y + 2y = -19y
16 + -19y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
16 + -19y = 10 + 0
16 + -19y = 10

Add '-16' to each side of the equation.
16 + -16 + -19y = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -19y = 10 + -16
-19y = 10 + -16

Combine like terms: 10 + -16 = -6
-19y = -6

Divide each side by '-19'.
y = 0.3157894737

Simplifying
y = 0.3157894737

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