-2(4y-8)-y=-3(y-2)

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Solution for -2(4y-8)-y=-3(y-2) equation:


Simplifying
-2(4y + -8) + -1y = -3(y + -2)

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

Combine like terms: -8y + -1y = -9y
16 + -9y = -3(y + -2)

Reorder the terms:
16 + -9y = -3(-2 + y)
16 + -9y = (-2 * -3 + y * -3)
16 + -9y = (6 + -3y)

Solving
16 + -9y = 6 + -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 + -9y + 3y = 6 + -3y + 3y

Combine like terms: -9y + 3y = -6y
16 + -6y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
16 + -6y = 6 + 0
16 + -6y = 6

Add '-16' to each side of the equation.
16 + -16 + -6y = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -6y = 6 + -16
-6y = 6 + -16

Combine like terms: 6 + -16 = -10
-6y = -10

Divide each side by '-6'.
y = 1.666666667

Simplifying
y = 1.666666667

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