-5(2y-5)-y=-3(y-4)

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Solution for -5(2y-5)-y=-3(y-4) equation:


Simplifying
-5(2y + -5) + -1y = -3(y + -4)

Reorder the terms:
-5(-5 + 2y) + -1y = -3(y + -4)
(-5 * -5 + 2y * -5) + -1y = -3(y + -4)
(25 + -10y) + -1y = -3(y + -4)

Combine like terms: -10y + -1y = -11y
25 + -11y = -3(y + -4)

Reorder the terms:
25 + -11y = -3(-4 + y)
25 + -11y = (-4 * -3 + y * -3)
25 + -11y = (12 + -3y)

Solving
25 + -11y = 12 + -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 + -11y + 3y = 12 + -3y + 3y

Combine like terms: -11y + 3y = -8y
25 + -8y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
25 + -8y = 12 + 0
25 + -8y = 12

Add '-25' to each side of the equation.
25 + -25 + -8y = 12 + -25

Combine like terms: 25 + -25 = 0
0 + -8y = 12 + -25
-8y = 12 + -25

Combine like terms: 12 + -25 = -13
-8y = -13

Divide each side by '-8'.
y = 1.625

Simplifying
y = 1.625

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