-5(6y-5)-y=-2(y-5)

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Solution for -5(6y-5)-y=-2(y-5) equation:


Simplifying
-5(6y + -5) + -1y = -2(y + -5)

Reorder the terms:
-5(-5 + 6y) + -1y = -2(y + -5)
(-5 * -5 + 6y * -5) + -1y = -2(y + -5)
(25 + -30y) + -1y = -2(y + -5)

Combine like terms: -30y + -1y = -31y
25 + -31y = -2(y + -5)

Reorder the terms:
25 + -31y = -2(-5 + y)
25 + -31y = (-5 * -2 + y * -2)
25 + -31y = (10 + -2y)

Solving
25 + -31y = 10 + -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.
25 + -31y + 2y = 10 + -2y + 2y

Combine like terms: -31y + 2y = -29y
25 + -29y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
25 + -29y = 10 + 0
25 + -29y = 10

Add '-25' to each side of the equation.
25 + -25 + -29y = 10 + -25

Combine like terms: 25 + -25 = 0
0 + -29y = 10 + -25
-29y = 10 + -25

Combine like terms: 10 + -25 = -15
-29y = -15

Divide each side by '-29'.
y = 0.5172413793

Simplifying
y = 0.5172413793

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