-5(4y-5)-y=-3(y-3)

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Solution for -5(4y-5)-y=-3(y-3) equation:


Simplifying
-5(4y + -5) + -1y = -3(y + -3)

Reorder the terms:
-5(-5 + 4y) + -1y = -3(y + -3)
(-5 * -5 + 4y * -5) + -1y = -3(y + -3)
(25 + -20y) + -1y = -3(y + -3)

Combine like terms: -20y + -1y = -21y
25 + -21y = -3(y + -3)

Reorder the terms:
25 + -21y = -3(-3 + y)
25 + -21y = (-3 * -3 + y * -3)
25 + -21y = (9 + -3y)

Solving
25 + -21y = 9 + -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.
25 + -21y + 3y = 9 + -3y + 3y

Combine like terms: -21y + 3y = -18y
25 + -18y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
25 + -18y = 9 + 0
25 + -18y = 9

Add '-25' to each side of the equation.
25 + -25 + -18y = 9 + -25

Combine like terms: 25 + -25 = 0
0 + -18y = 9 + -25
-18y = 9 + -25

Combine like terms: 9 + -25 = -16
-18y = -16

Divide each side by '-18'.
y = 0.8888888889

Simplifying
y = 0.8888888889

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