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

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


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

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

Remove parenthesis around (-4 + y)
-4 + y + -1(y + 2) = 9y

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

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

Combine like terms: -4 + -2 = -6
-6 + y + -1y = 9y

Combine like terms: y + -1y = 0
-6 + 0 = 9y
-6 = 9y

Solving
-6 = 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-6 + -9y = 9y + -9y

Combine like terms: 9y + -9y = 0
-6 + -9y = 0

Add '6' to each side of the equation.
-6 + 6 + -9y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -9y = 0 + 6
-9y = 0 + 6

Combine like terms: 0 + 6 = 6
-9y = 6

Divide each side by '-9'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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