6(y-8)-y=2(-9-y)

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Solution for 6(y-8)-y=2(-9-y) equation:


Simplifying
6(y + -8) + -1y = 2(-9 + -1y)

Reorder the terms:
6(-8 + y) + -1y = 2(-9 + -1y)
(-8 * 6 + y * 6) + -1y = 2(-9 + -1y)
(-48 + 6y) + -1y = 2(-9 + -1y)

Combine like terms: 6y + -1y = 5y
-48 + 5y = 2(-9 + -1y)
-48 + 5y = (-9 * 2 + -1y * 2)
-48 + 5y = (-18 + -2y)

Solving
-48 + 5y = -18 + -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.
-48 + 5y + 2y = -18 + -2y + 2y

Combine like terms: 5y + 2y = 7y
-48 + 7y = -18 + -2y + 2y

Combine like terms: -2y + 2y = 0
-48 + 7y = -18 + 0
-48 + 7y = -18

Add '48' to each side of the equation.
-48 + 48 + 7y = -18 + 48

Combine like terms: -48 + 48 = 0
0 + 7y = -18 + 48
7y = -18 + 48

Combine like terms: -18 + 48 = 30
7y = 30

Divide each side by '7'.
y = 4.285714286

Simplifying
y = 4.285714286

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