-3(2y-9)-y=-3(y-4)

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Solution for -3(2y-9)-y=-3(y-4) equation:


Simplifying
-3(2y + -9) + -1y = -3(y + -4)

Reorder the terms:
-3(-9 + 2y) + -1y = -3(y + -4)
(-9 * -3 + 2y * -3) + -1y = -3(y + -4)
(27 + -6y) + -1y = -3(y + -4)

Combine like terms: -6y + -1y = -7y
27 + -7y = -3(y + -4)

Reorder the terms:
27 + -7y = -3(-4 + y)
27 + -7y = (-4 * -3 + y * -3)
27 + -7y = (12 + -3y)

Solving
27 + -7y = 12 + -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.
27 + -7y + 3y = 12 + -3y + 3y

Combine like terms: -7y + 3y = -4y
27 + -4y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
27 + -4y = 12 + 0
27 + -4y = 12

Add '-27' to each side of the equation.
27 + -27 + -4y = 12 + -27

Combine like terms: 27 + -27 = 0
0 + -4y = 12 + -27
-4y = 12 + -27

Combine like terms: 12 + -27 = -15
-4y = -15

Divide each side by '-4'.
y = 3.75

Simplifying
y = 3.75

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