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

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


Simplifying
(y + -9) + -1(y + 6) = 2y

Reorder the terms:
(-9 + y) + -1(y + 6) = 2y

Remove parenthesis around (-9 + y)
-9 + y + -1(y + 6) = 2y

Reorder the terms:
-9 + y + -1(6 + y) = 2y
-9 + y + (6 * -1 + y * -1) = 2y
-9 + y + (-6 + -1y) = 2y

Reorder the terms:
-9 + -6 + y + -1y = 2y

Combine like terms: -9 + -6 = -15
-15 + y + -1y = 2y

Combine like terms: y + -1y = 0
-15 + 0 = 2y
-15 = 2y

Solving
-15 = 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.
-15 + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
-15 + -2y = 0

Add '15' to each side of the equation.
-15 + 15 + -2y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -2y = 0 + 15
-2y = 0 + 15

Combine like terms: 0 + 15 = 15
-2y = 15

Divide each side by '-2'.
y = -7.5

Simplifying
y = -7.5

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