3(x+y)+4(y+x)-2y=

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Solution for 3(x+y)+4(y+x)-2y= equation:


Simplifying
3(x + y) + 4(y + x) + -2y = 0
(x * 3 + y * 3) + 4(y + x) + -2y = 0
(3x + 3y) + 4(y + x) + -2y = 0

Reorder the terms:
3x + 3y + 4(x + y) + -2y = 0
3x + 3y + (x * 4 + y * 4) + -2y = 0
3x + 3y + (4x + 4y) + -2y = 0

Reorder the terms:
3x + 4x + 3y + 4y + -2y = 0

Combine like terms: 3x + 4x = 7x
7x + 3y + 4y + -2y = 0

Combine like terms: 3y + 4y = 7y
7x + 7y + -2y = 0

Combine like terms: 7y + -2y = 5y
7x + 5y = 0

Solving
7x + 5y = 0

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
7x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
7x + 0 = 0 + -5y
7x = 0 + -5y
Remove the zero:
7x = -5y

Divide each side by '7'.
x = -0.7142857143y

Simplifying
x = -0.7142857143y

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