-3(3y-9)-Y=-3(y-3)

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


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

Reorder the terms:
-3(-9 + 3y) + -1Y = -3(y + -3)
(-9 * -3 + 3y * -3) + -1Y = -3(y + -3)
(27 + -9y) + -1Y = -3(y + -3)

Reorder the terms:
27 + -1Y + -9y = -3(y + -3)

Reorder the terms:
27 + -1Y + -9y = -3(-3 + y)
27 + -1Y + -9y = (-3 * -3 + y * -3)
27 + -1Y + -9y = (9 + -3y)

Solving
27 + -1Y + -9y = 9 + -3y

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-27' to each side of the equation.
27 + -1Y + -27 + -9y = 9 + -27 + -3y

Reorder the terms:
27 + -27 + -1Y + -9y = 9 + -27 + -3y

Combine like terms: 27 + -27 = 0
0 + -1Y + -9y = 9 + -27 + -3y
-1Y + -9y = 9 + -27 + -3y

Combine like terms: 9 + -27 = -18
-1Y + -9y = -18 + -3y

Add '9y' to each side of the equation.
-1Y + -9y + 9y = -18 + -3y + 9y

Combine like terms: -9y + 9y = 0
-1Y + 0 = -18 + -3y + 9y
-1Y = -18 + -3y + 9y

Combine like terms: -3y + 9y = 6y
-1Y = -18 + 6y

Divide each side by '-1'.
Y = 18 + -6y

Simplifying
Y = 18 + -6y

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