-5(5y-8)-y=-3(y-2)

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Solution for -5(5y-8)-y=-3(y-2) equation:


Simplifying
-5(5y + -8) + -1y = -3(y + -2)

Reorder the terms:
-5(-8 + 5y) + -1y = -3(y + -2)
(-8 * -5 + 5y * -5) + -1y = -3(y + -2)
(40 + -25y) + -1y = -3(y + -2)

Combine like terms: -25y + -1y = -26y
40 + -26y = -3(y + -2)

Reorder the terms:
40 + -26y = -3(-2 + y)
40 + -26y = (-2 * -3 + y * -3)
40 + -26y = (6 + -3y)

Solving
40 + -26y = 6 + -3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '3y' to each side of the equation.
40 + -26y + 3y = 6 + -3y + 3y

Combine like terms: -26y + 3y = -23y
40 + -23y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
40 + -23y = 6 + 0
40 + -23y = 6

Add '-40' to each side of the equation.
40 + -40 + -23y = 6 + -40

Combine like terms: 40 + -40 = 0
0 + -23y = 6 + -40
-23y = 6 + -40

Combine like terms: 6 + -40 = -34
-23y = -34

Divide each side by '-23'.
y = 1.47826087

Simplifying
y = 1.47826087

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