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

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


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

Reorder the terms:
-2(-8 + 2y) + -1y = -3(y + -3)
(-8 * -2 + 2y * -2) + -1y = -3(y + -3)
(16 + -4y) + -1y = -3(y + -3)

Combine like terms: -4y + -1y = -5y
16 + -5y = -3(y + -3)

Reorder the terms:
16 + -5y = -3(-3 + y)
16 + -5y = (-3 * -3 + y * -3)
16 + -5y = (9 + -3y)

Solving
16 + -5y = 9 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
16 + -5y + 3y = 9 + -3y + 3y

Combine like terms: -5y + 3y = -2y
16 + -2y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
16 + -2y = 9 + 0
16 + -2y = 9

Add '-16' to each side of the equation.
16 + -16 + -2y = 9 + -16

Combine like terms: 16 + -16 = 0
0 + -2y = 9 + -16
-2y = 9 + -16

Combine like terms: 9 + -16 = -7
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5

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