10x-6(x+y)=y-x

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Solution for 10x-6(x+y)=y-x equation:


Simplifying
10x + -6(x + y) = y + -1x
10x + (x * -6 + y * -6) = y + -1x
10x + (-6x + -6y) = y + -1x

Combine like terms: 10x + -6x = 4x
4x + -6y = y + -1x

Reorder the terms:
4x + -6y = -1x + y

Solving
4x + -6y = -1x + y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4x + x + -6y = -1x + x + y

Combine like terms: 4x + x = 5x
5x + -6y = -1x + x + y

Combine like terms: -1x + x = 0
5x + -6y = 0 + y
5x + -6y = y

Add '6y' to each side of the equation.
5x + -6y + 6y = y + 6y

Combine like terms: -6y + 6y = 0
5x + 0 = y + 6y
5x = y + 6y

Combine like terms: y + 6y = 7y
5x = 7y

Divide each side by '5'.
x = 1.4y

Simplifying
x = 1.4y

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