-3(2y-6)-y=-2(y-3)

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Solution for -3(2y-6)-y=-2(y-3) equation:


Simplifying
-3(2y + -6) + -1y = -2(y + -3)

Reorder the terms:
-3(-6 + 2y) + -1y = -2(y + -3)
(-6 * -3 + 2y * -3) + -1y = -2(y + -3)
(18 + -6y) + -1y = -2(y + -3)

Combine like terms: -6y + -1y = -7y
18 + -7y = -2(y + -3)

Reorder the terms:
18 + -7y = -2(-3 + y)
18 + -7y = (-3 * -2 + y * -2)
18 + -7y = (6 + -2y)

Solving
18 + -7y = 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.
18 + -7y + 2y = 6 + -2y + 2y

Combine like terms: -7y + 2y = -5y
18 + -5y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
18 + -5y = 6 + 0
18 + -5y = 6

Add '-18' to each side of the equation.
18 + -18 + -5y = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -5y = 6 + -18
-5y = 6 + -18

Combine like terms: 6 + -18 = -12
-5y = -12

Divide each side by '-5'.
y = 2.4

Simplifying
y = 2.4

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