-2(6y-8)-y=-4(y-3)

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Solution for -2(6y-8)-y=-4(y-3) equation:


Simplifying
-2(6y + -8) + -1y = -4(y + -3)

Reorder the terms:
-2(-8 + 6y) + -1y = -4(y + -3)
(-8 * -2 + 6y * -2) + -1y = -4(y + -3)
(16 + -12y) + -1y = -4(y + -3)

Combine like terms: -12y + -1y = -13y
16 + -13y = -4(y + -3)

Reorder the terms:
16 + -13y = -4(-3 + y)
16 + -13y = (-3 * -4 + y * -4)
16 + -13y = (12 + -4y)

Solving
16 + -13y = 12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
16 + -13y + 4y = 12 + -4y + 4y

Combine like terms: -13y + 4y = -9y
16 + -9y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
16 + -9y = 12 + 0
16 + -9y = 12

Add '-16' to each side of the equation.
16 + -16 + -9y = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -9y = 12 + -16
-9y = 12 + -16

Combine like terms: 12 + -16 = -4
-9y = -4

Divide each side by '-9'.
y = 0.4444444444

Simplifying
y = 0.4444444444

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