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

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


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

Reorder the terms:
-3(-3 + 2y) + -1y = -2(y + -5)
(-3 * -3 + 2y * -3) + -1y = -2(y + -5)
(9 + -6y) + -1y = -2(y + -5)

Combine like terms: -6y + -1y = -7y
9 + -7y = -2(y + -5)

Reorder the terms:
9 + -7y = -2(-5 + y)
9 + -7y = (-5 * -2 + y * -2)
9 + -7y = (10 + -2y)

Solving
9 + -7y = 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.
9 + -7y + 2y = 10 + -2y + 2y

Combine like terms: -7y + 2y = -5y
9 + -5y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
9 + -5y = 10 + 0
9 + -5y = 10

Add '-9' to each side of the equation.
9 + -9 + -5y = 10 + -9

Combine like terms: 9 + -9 = 0
0 + -5y = 10 + -9
-5y = 10 + -9

Combine like terms: 10 + -9 = 1
-5y = 1

Divide each side by '-5'.
y = -0.2

Simplifying
y = -0.2

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