y-2(y-9)=(-8y+11)-9

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Solution for y-2(y-9)=(-8y+11)-9 equation:


Simplifying
y + -2(y + -9) = (-8y + 11) + -9

Reorder the terms:
y + -2(-9 + y) = (-8y + 11) + -9
y + (-9 * -2 + y * -2) = (-8y + 11) + -9
y + (18 + -2y) = (-8y + 11) + -9

Reorder the terms:
18 + y + -2y = (-8y + 11) + -9

Combine like terms: y + -2y = -1y
18 + -1y = (-8y + 11) + -9

Reorder the terms:
18 + -1y = (11 + -8y) + -9

Remove parenthesis around (11 + -8y)
18 + -1y = 11 + -8y + -9

Reorder the terms:
18 + -1y = 11 + -9 + -8y

Combine like terms: 11 + -9 = 2
18 + -1y = 2 + -8y

Solving
18 + -1y = 2 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
18 + -1y + 8y = 2 + -8y + 8y

Combine like terms: -1y + 8y = 7y
18 + 7y = 2 + -8y + 8y

Combine like terms: -8y + 8y = 0
18 + 7y = 2 + 0
18 + 7y = 2

Add '-18' to each side of the equation.
18 + -18 + 7y = 2 + -18

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

Combine like terms: 2 + -18 = -16
7y = -16

Divide each side by '7'.
y = -2.285714286

Simplifying
y = -2.285714286

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