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

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


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

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

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

Combine like terms: -12 + -8 = -20
-20 + 2y = -2(-9y + 9) + -8y

Reorder the terms:
-20 + 2y = -2(9 + -9y) + -8y
-20 + 2y = (9 * -2 + -9y * -2) + -8y
-20 + 2y = (-18 + 18y) + -8y

Combine like terms: 18y + -8y = 10y
-20 + 2y = -18 + 10y

Solving
-20 + 2y = -18 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-20 + 2y + -10y = -18 + 10y + -10y

Combine like terms: 2y + -10y = -8y
-20 + -8y = -18 + 10y + -10y

Combine like terms: 10y + -10y = 0
-20 + -8y = -18 + 0
-20 + -8y = -18

Add '20' to each side of the equation.
-20 + 20 + -8y = -18 + 20

Combine like terms: -20 + 20 = 0
0 + -8y = -18 + 20
-8y = -18 + 20

Combine like terms: -18 + 20 = 2
-8y = 2

Divide each side by '-8'.
y = -0.25

Simplifying
y = -0.25

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