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

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


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

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

Remove parenthesis around (-9 + y)
-9 + y + -1(y + 9) = 2y

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

Reorder the terms:
-9 + -9 + y + -1y = 2y

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

Combine like terms: y + -1y = 0
-18 + 0 = 2y
-18 = 2y

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

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

Add '18' to each side of the equation.
-18 + 18 + -2y = 0 + 18

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

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

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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