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

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


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

Reorder the terms:
-2(-6 + 9y) + 8y = 2(y + 9)
(-6 * -2 + 9y * -2) + 8y = 2(y + 9)
(12 + -18y) + 8y = 2(y + 9)

Combine like terms: -18y + 8y = -10y
12 + -10y = 2(y + 9)

Reorder the terms:
12 + -10y = 2(9 + y)
12 + -10y = (9 * 2 + y * 2)
12 + -10y = (18 + 2y)

Solving
12 + -10y = 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.
12 + -10y + -2y = 18 + 2y + -2y

Combine like terms: -10y + -2y = -12y
12 + -12y = 18 + 2y + -2y

Combine like terms: 2y + -2y = 0
12 + -12y = 18 + 0
12 + -12y = 18

Add '-12' to each side of the equation.
12 + -12 + -12y = 18 + -12

Combine like terms: 12 + -12 = 0
0 + -12y = 18 + -12
-12y = 18 + -12

Combine like terms: 18 + -12 = 6
-12y = 6

Divide each side by '-12'.
y = -0.5

Simplifying
y = -0.5

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