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

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


Simplifying
2(y + -3(2y + x)) + -3x = 0

Reorder the terms:
2(y + -3(x + 2y)) + -3x = 0
2(y + (x * -3 + 2y * -3)) + -3x = 0
2(y + (-3x + -6y)) + -3x = 0

Reorder the terms:
2(-3x + y + -6y) + -3x = 0

Combine like terms: y + -6y = -5y
2(-3x + -5y) + -3x = 0
(-3x * 2 + -5y * 2) + -3x = 0
(-6x + -10y) + -3x = 0

Reorder the terms:
-6x + -3x + -10y = 0

Combine like terms: -6x + -3x = -9x
-9x + -10y = 0

Solving
-9x + -10y = 0

Solving for variable 'x'.

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

Add '10y' to each side of the equation.
-9x + -10y + 10y = 0 + 10y

Combine like terms: -10y + 10y = 0
-9x + 0 = 0 + 10y
-9x = 0 + 10y
Remove the zero:
-9x = 10y

Divide each side by '-9'.
x = -1.111111111y

Simplifying
x = -1.111111111y

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