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

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


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

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

Reorder the terms:
-4 + 2y = 2y + 9 + -2(-1 + -9y)
-4 + 2y = 2y + 9 + (-1 * -2 + -9y * -2)
-4 + 2y = 2y + 9 + (2 + 18y)

Reorder the terms:
-4 + 2y = 9 + 2 + 2y + 18y

Combine like terms: 9 + 2 = 11
-4 + 2y = 11 + 2y + 18y

Combine like terms: 2y + 18y = 20y
-4 + 2y = 11 + 20y

Solving
-4 + 2y = 11 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-4 + 2y + -20y = 11 + 20y + -20y

Combine like terms: 2y + -20y = -18y
-4 + -18y = 11 + 20y + -20y

Combine like terms: 20y + -20y = 0
-4 + -18y = 11 + 0
-4 + -18y = 11

Add '4' to each side of the equation.
-4 + 4 + -18y = 11 + 4

Combine like terms: -4 + 4 = 0
0 + -18y = 11 + 4
-18y = 11 + 4

Combine like terms: 11 + 4 = 15
-18y = 15

Divide each side by '-18'.
y = -0.8333333333

Simplifying
y = -0.8333333333

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