(y-x)=10-4x

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


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

Reorder the terms:
(-1x + y) = 10 + -4x

Remove parenthesis around (-1x + y)
-1x + y = 10 + -4x

Solving
-1x + y = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-1x + 4x + y = 10 + -4x + 4x

Combine like terms: -1x + 4x = 3x
3x + y = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
3x + y = 10 + 0
3x + y = 10

Add '-1y' to each side of the equation.
3x + y + -1y = 10 + -1y

Combine like terms: y + -1y = 0
3x + 0 = 10 + -1y
3x = 10 + -1y

Divide each side by '3'.
x = 3.333333333 + -0.3333333333y

Simplifying
x = 3.333333333 + -0.3333333333y

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