4x-10(x+y)=y-x

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Solution for 4x-10(x+y)=y-x equation:


Simplifying
4x + -10(x + y) = y + -1x
4x + (x * -10 + y * -10) = y + -1x
4x + (-10x + -10y) = y + -1x

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

Reorder the terms:
-6x + -10y = -1x + y

Solving
-6x + -10y = -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.
-6x + x + -10y = -1x + x + y

Combine like terms: -6x + x = -5x
-5x + -10y = -1x + x + y

Combine like terms: -1x + x = 0
-5x + -10y = 0 + y
-5x + -10y = y

Add '10y' to each side of the equation.
-5x + -10y + 10y = y + 10y

Combine like terms: -10y + 10y = 0
-5x + 0 = y + 10y
-5x = y + 10y

Combine like terms: y + 10y = 11y
-5x = 11y

Divide each side by '-5'.
x = -2.2y

Simplifying
x = -2.2y

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