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

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Solution for 7(y+x)-3(x-y)=-6 equation: 


Simplifying
7(y + x) + -3(x + -1y) = -6

Reorder the terms:
7(x + y) + -3(x + -1y) = -6
(x * 7 + y * 7) + -3(x + -1y) = -6
(7x + 7y) + -3(x + -1y) = -6
7x + 7y + (x * -3 + -1y * -3) = -6
7x + 7y + (-3x + 3y) = -6

Reorder the terms:
7x + -3x + 7y + 3y = -6

Combine like terms: 7x + -3x = 4x
4x + 7y + 3y = -6

Combine like terms: 7y + 3y = 10y
4x + 10y = -6

Solving
4x + 10y = -6

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.
4x + 10y + -10y = -6 + -10y

Combine like terms: 10y + -10y = 0
4x + 0 = -6 + -10y
4x = -6 + -10y

Divide each side by '4'.
x = -1.5 + -2.5y

Simplifying
x = -1.5 + -2.5y

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