4x+y=6x-y

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Solution for 4x+y=6x-y equation:


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

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

Solving for variable 'x'.

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

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

Combine like terms: 4x + -6x = -2x
-2x + y = 6x + -6x + -1y

Combine like terms: 6x + -6x = 0
-2x + y = 0 + -1y
-2x + y = -1y

Add '-1y' to each side of the equation.
-2x + y + -1y = -1y + -1y

Combine like terms: y + -1y = 0
-2x + 0 = -1y + -1y
-2x = -1y + -1y

Combine like terms: -1y + -1y = -2y
-2x = -2y

Divide each side by '-2'.
x = y

Simplifying
x = y

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