y(x+3)+9=3(x-2)+6

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Solution for y(x+3)+9=3(x-2)+6 equation: 


Simplifying
y(x + 3) + 9 = 3(x + -2) + 6

Reorder the terms:
y(3 + x) + 9 = 3(x + -2) + 6
(3 * y + x * y) + 9 = 3(x + -2) + 6

Reorder the terms:
(xy + 3y) + 9 = 3(x + -2) + 6
(xy + 3y) + 9 = 3(x + -2) + 6

Reorder the terms:
9 + xy + 3y = 3(x + -2) + 6

Reorder the terms:
9 + xy + 3y = 3(-2 + x) + 6
9 + xy + 3y = (-2 * 3 + x * 3) + 6
9 + xy + 3y = (-6 + 3x) + 6

Reorder the terms:
9 + xy + 3y = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
9 + xy + 3y = 0 + 3x
9 + xy + 3y = 3x

Solving
9 + xy + 3y = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + xy + -3x + 3y = 3x + -3x

Reorder the terms:
9 + -3x + xy + 3y = 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -3x + xy + 3y = 0

Add '-9' to each side of the equation.
9 + -3x + xy + -9 + 3y = 0 + -9

Reorder the terms:
9 + -9 + -3x + xy + 3y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -3x + xy + 3y = 0 + -9
-3x + xy + 3y = 0 + -9

Combine like terms: 0 + -9 = -9
-3x + xy + 3y = -9

Add '-3y' to each side of the equation.
-3x + xy + 3y + -3y = -9 + -3y

Combine like terms: 3y + -3y = 0
-3x + xy + 0 = -9 + -3y
-3x + xy = -9 + -3y

Reorder the terms:
9 + -3x + xy + 3y = -9 + -3y + 9 + 3y

Reorder the terms:
9 + -3x + xy + 3y = -9 + 9 + -3y + 3y

Combine like terms: -9 + 9 = 0
9 + -3x + xy + 3y = 0 + -3y + 3y
9 + -3x + xy + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
9 + -3x + xy + 3y = 0

The solution to this equation could not be determined.

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