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

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


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

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

Combine like terms: -9y + -1y = -10y
18 + -10y = -2(y + -2)

Reorder the terms:
18 + -10y = -2(-2 + y)
18 + -10y = (-2 * -2 + y * -2)
18 + -10y = (4 + -2y)

Solving
18 + -10y = 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.
18 + -10y + 2y = 4 + -2y + 2y

Combine like terms: -10y + 2y = -8y
18 + -8y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
18 + -8y = 4 + 0
18 + -8y = 4

Add '-18' to each side of the equation.
18 + -18 + -8y = 4 + -18

Combine like terms: 18 + -18 = 0
0 + -8y = 4 + -18
-8y = 4 + -18

Combine like terms: 4 + -18 = -14
-8y = -14

Divide each side by '-8'.
y = 1.75

Simplifying
y = 1.75

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