-3(3y-8)-y=-2(y-2)

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Solution for -3(3y-8)-y=-2(y-2) equation:


Simplifying
-3(3y + -8) + -1y = -2(y + -2)

Reorder the terms:
-3(-8 + 3y) + -1y = -2(y + -2)
(-8 * -3 + 3y * -3) + -1y = -2(y + -2)
(24 + -9y) + -1y = -2(y + -2)

Combine like terms: -9y + -1y = -10y
24 + -10y = -2(y + -2)

Reorder the terms:
24 + -10y = -2(-2 + y)
24 + -10y = (-2 * -2 + y * -2)
24 + -10y = (4 + -2y)

Solving
24 + -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.
24 + -10y + 2y = 4 + -2y + 2y

Combine like terms: -10y + 2y = -8y
24 + -8y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
24 + -8y = 4 + 0
24 + -8y = 4

Add '-24' to each side of the equation.
24 + -24 + -8y = 4 + -24

Combine like terms: 24 + -24 = 0
0 + -8y = 4 + -24
-8y = 4 + -24

Combine like terms: 4 + -24 = -20
-8y = -20

Divide each side by '-8'.
y = 2.5

Simplifying
y = 2.5

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