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

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


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

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

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

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

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

Solving
0 = 9 + 9x + 7y

Solving for variable 'x'.

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

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

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

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

Simplifying
x = -1 + -0.7777777778y

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