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

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


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

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

Combine like terms: -9y + -1y = -10y
6 + -10y = -2(y + -4)

Reorder the terms:
6 + -10y = -2(-4 + y)
6 + -10y = (-4 * -2 + y * -2)
6 + -10y = (8 + -2y)

Solving
6 + -10y = 8 + -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.
6 + -10y + 2y = 8 + -2y + 2y

Combine like terms: -10y + 2y = -8y
6 + -8y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + -8y = 8 + 0
6 + -8y = 8

Add '-6' to each side of the equation.
6 + -6 + -8y = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 8 + -6
-8y = 8 + -6

Combine like terms: 8 + -6 = 2
-8y = 2

Divide each side by '-8'.
y = -0.25

Simplifying
y = -0.25

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