6(x+y)+y+3(x+3)=0

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Solution for 6(x+y)+y+3(x+3)=0 equation:


Simplifying
6(x + y) + y + 3(x + 3) = 0
(x * 6 + y * 6) + y + 3(x + 3) = 0
(6x + 6y) + y + 3(x + 3) = 0

Reorder the terms:
6x + 6y + y + 3(3 + x) = 0
6x + 6y + y + (3 * 3 + x * 3) = 0
6x + 6y + y + (9 + 3x) = 0

Reorder the terms:
9 + 6x + 3x + 6y + y = 0

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

Combine like terms: 6y + y = 7y
9 + 9x + 7y = 0

Solving
9 + 9x + 7y = 0

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + 9x + -9 + 7y = 0 + -9

Reorder the terms:
9 + -9 + 9x + 7y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 9x + 7y = 0 + -9
9x + 7y = 0 + -9

Combine like terms: 0 + -9 = -9
9x + 7y = -9

Add '-7y' to each side of the equation.
9x + 7y + -7y = -9 + -7y

Combine like terms: 7y + -7y = 0
9x + 0 = -9 + -7y
9x = -9 + -7y

Divide each side by '9'.
x = -1 + -0.7777777778y

Simplifying
x = -1 + -0.7777777778y

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