-3(6y-9)-y=-2(y-2)

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Solution for -3(6y-9)-y=-2(y-2) equation:


Simplifying
-3(6y + -9) + -1y = -2(y + -2)

Reorder the terms:
-3(-9 + 6y) + -1y = -2(y + -2)
(-9 * -3 + 6y * -3) + -1y = -2(y + -2)
(27 + -18y) + -1y = -2(y + -2)

Combine like terms: -18y + -1y = -19y
27 + -19y = -2(y + -2)

Reorder the terms:
27 + -19y = -2(-2 + y)
27 + -19y = (-2 * -2 + y * -2)
27 + -19y = (4 + -2y)

Solving
27 + -19y = 4 + -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.
27 + -19y + 2y = 4 + -2y + 2y

Combine like terms: -19y + 2y = -17y
27 + -17y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
27 + -17y = 4 + 0
27 + -17y = 4

Add '-27' to each side of the equation.
27 + -27 + -17y = 4 + -27

Combine like terms: 27 + -27 = 0
0 + -17y = 4 + -27
-17y = 4 + -27

Combine like terms: 4 + -27 = -23
-17y = -23

Divide each side by '-17'.
y = 1.352941176

Simplifying
y = 1.352941176

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