2+2(4y-1)=-2(9y-8)+8y

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Solution for 2+2(4y-1)=-2(9y-8)+8y equation:


Simplifying
2 + 2(4y + -1) = -2(9y + -8) + 8y

Reorder the terms:
2 + 2(-1 + 4y) = -2(9y + -8) + 8y
2 + (-1 * 2 + 4y * 2) = -2(9y + -8) + 8y
2 + (-2 + 8y) = -2(9y + -8) + 8y

Combine like terms: 2 + -2 = 0
0 + 8y = -2(9y + -8) + 8y
8y = -2(9y + -8) + 8y

Reorder the terms:
8y = -2(-8 + 9y) + 8y
8y = (-8 * -2 + 9y * -2) + 8y
8y = (16 + -18y) + 8y

Combine like terms: -18y + 8y = -10y
8y = 16 + -10y

Solving
8y = 16 + -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.
8y + 10y = 16 + -10y + 10y

Combine like terms: 8y + 10y = 18y
18y = 16 + -10y + 10y

Combine like terms: -10y + 10y = 0
18y = 16 + 0
18y = 16

Divide each side by '18'.
y = 0.8888888889

Simplifying
y = 0.8888888889

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