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

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


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

Reorder the terms:
-5(-2 + 5y) + -1y = -2(y + -4)
(-2 * -5 + 5y * -5) + -1y = -2(y + -4)
(10 + -25y) + -1y = -2(y + -4)

Combine like terms: -25y + -1y = -26y
10 + -26y = -2(y + -4)

Reorder the terms:
10 + -26y = -2(-4 + y)
10 + -26y = (-4 * -2 + y * -2)
10 + -26y = (8 + -2y)

Solving
10 + -26y = 8 + -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.
10 + -26y + 2y = 8 + -2y + 2y

Combine like terms: -26y + 2y = -24y
10 + -24y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
10 + -24y = 8 + 0
10 + -24y = 8

Add '-10' to each side of the equation.
10 + -10 + -24y = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -24y = 8 + -10
-24y = 8 + -10

Combine like terms: 8 + -10 = -2
-24y = -2

Divide each side by '-24'.
y = 0.08333333333

Simplifying
y = 0.08333333333

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