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

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


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

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

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

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

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

Combine like terms: -6 + -2 = -8
-8 + Y + -1y = 9y

Solving
-8 + Y + -1y = 9y

Solving for variable 'Y'.

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

Add '8' to each side of the equation.
-8 + Y + 8 + -1y = 8 + 9y

Reorder the terms:
-8 + 8 + Y + -1y = 8 + 9y

Combine like terms: -8 + 8 = 0
0 + Y + -1y = 8 + 9y
Y + -1y = 8 + 9y

Add 'y' to each side of the equation.
Y + -1y + y = 8 + 9y + y

Combine like terms: -1y + y = 0
Y + 0 = 8 + 9y + y
Y = 8 + 9y + y

Combine like terms: 9y + y = 10y
Y = 8 + 10y

Simplifying
Y = 8 + 10y

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