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

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


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

Reorder the terms:
-5(-3 + 2y) + -1y = -2(y + -3)
(-3 * -5 + 2y * -5) + -1y = -2(y + -3)
(15 + -10y) + -1y = -2(y + -3)

Combine like terms: -10y + -1y = -11y
15 + -11y = -2(y + -3)

Reorder the terms:
15 + -11y = -2(-3 + y)
15 + -11y = (-3 * -2 + y * -2)
15 + -11y = (6 + -2y)

Solving
15 + -11y = 6 + -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.
15 + -11y + 2y = 6 + -2y + 2y

Combine like terms: -11y + 2y = -9y
15 + -9y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
15 + -9y = 6 + 0
15 + -9y = 6

Add '-15' to each side of the equation.
15 + -15 + -9y = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -9y = 6 + -15
-9y = 6 + -15

Combine like terms: 6 + -15 = -9
-9y = -9

Divide each side by '-9'.
y = 1

Simplifying
y = 1

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