-2(3y-9)-y=-3(y-3)

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Solution for -2(3y-9)-y=-3(y-3) equation:


Simplifying
-2(3y + -9) + -1y = -3(y + -3)

Reorder the terms:
-2(-9 + 3y) + -1y = -3(y + -3)
(-9 * -2 + 3y * -2) + -1y = -3(y + -3)
(18 + -6y) + -1y = -3(y + -3)

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

Reorder the terms:
18 + -7y = -3(-3 + y)
18 + -7y = (-3 * -3 + y * -3)
18 + -7y = (9 + -3y)

Solving
18 + -7y = 9 + -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.
18 + -7y + 3y = 9 + -3y + 3y

Combine like terms: -7y + 3y = -4y
18 + -4y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
18 + -4y = 9 + 0
18 + -4y = 9

Add '-18' to each side of the equation.
18 + -18 + -4y = 9 + -18

Combine like terms: 18 + -18 = 0
0 + -4y = 9 + -18
-4y = 9 + -18

Combine like terms: 9 + -18 = -9
-4y = -9

Divide each side by '-4'.
y = 2.25

Simplifying
y = 2.25

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