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

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


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

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

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

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

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

Combine like terms: -9 + -2 = -11
-11 + y + -1y = 6y

Combine like terms: y + -1y = 0
-11 + 0 = 6y
-11 = 6y

Solving
-11 = 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-11 + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0
-11 + -6y = 0

Add '11' to each side of the equation.
-11 + 11 + -6y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -6y = 0 + 11
-6y = 0 + 11

Combine like terms: 0 + 11 = 11
-6y = 11

Divide each side by '-6'.
y = -1.833333333

Simplifying
y = -1.833333333

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