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

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


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

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

Combine like terms: -10y + -1y = -11y
25 + -11y = -4(y + -2)

Reorder the terms:
25 + -11y = -4(-2 + y)
25 + -11y = (-2 * -4 + y * -4)
25 + -11y = (8 + -4y)

Solving
25 + -11y = 8 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
25 + -11y + 4y = 8 + -4y + 4y

Combine like terms: -11y + 4y = -7y
25 + -7y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
25 + -7y = 8 + 0
25 + -7y = 8

Add '-25' to each side of the equation.
25 + -25 + -7y = 8 + -25

Combine like terms: 25 + -25 = 0
0 + -7y = 8 + -25
-7y = 8 + -25

Combine like terms: 8 + -25 = -17
-7y = -17

Divide each side by '-7'.
y = 2.428571429

Simplifying
y = 2.428571429

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