(Y-3)-(y+3)=9y

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Solution for (Y-3)-(y+3)=9y equation:


Simplifying
(Y + -3) + -1(y + 3) = 9y

Reorder the terms:
(-3 + Y) + -1(y + 3) = 9y

Remove parenthesis around (-3 + Y)
-3 + Y + -1(y + 3) = 9y

Reorder the terms:
-3 + Y + -1(3 + y) = 9y
-3 + Y + (3 * -1 + y * -1) = 9y
-3 + Y + (-3 + -1y) = 9y

Reorder the terms:
-3 + -3 + Y + -1y = 9y

Combine like terms: -3 + -3 = -6
-6 + Y + -1y = 9y

Solving
-6 + Y + -1y = 9y

Solving for variable 'Y'.

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

Add '6' to each side of the equation.
-6 + Y + 6 + -1y = 6 + 9y

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

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

Add 'y' to each side of the equation.
Y + -1y + y = 6 + 9y + y

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

Combine like terms: 9y + y = 10y
Y = 6 + 10y

Simplifying
Y = 6 + 10y

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