-5(5y-9)-y=-2(y-4)

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Solution for -5(5y-9)-y=-2(y-4) equation:


Simplifying
-5(5y + -9) + -1y = -2(y + -4)

Reorder the terms:
-5(-9 + 5y) + -1y = -2(y + -4)
(-9 * -5 + 5y * -5) + -1y = -2(y + -4)
(45 + -25y) + -1y = -2(y + -4)

Combine like terms: -25y + -1y = -26y
45 + -26y = -2(y + -4)

Reorder the terms:
45 + -26y = -2(-4 + y)
45 + -26y = (-4 * -2 + y * -2)
45 + -26y = (8 + -2y)

Solving
45 + -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.
45 + -26y + 2y = 8 + -2y + 2y

Combine like terms: -26y + 2y = -24y
45 + -24y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
45 + -24y = 8 + 0
45 + -24y = 8

Add '-45' to each side of the equation.
45 + -45 + -24y = 8 + -45

Combine like terms: 45 + -45 = 0
0 + -24y = 8 + -45
-24y = 8 + -45

Combine like terms: 8 + -45 = -37
-24y = -37

Divide each side by '-24'.
y = 1.541666667

Simplifying
y = 1.541666667

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