4x-(2x-4y)=y+3x

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Solution for 4x-(2x-4y)=y+3x equation:


Simplifying
4x + -1(2x + -4y) = y + 3x
4x + (2x * -1 + -4y * -1) = y + 3x
4x + (-2x + 4y) = y + 3x

Combine like terms: 4x + -2x = 2x
2x + 4y = y + 3x

Reorder the terms:
2x + 4y = 3x + y

Solving
2x + 4y = 3x + y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2x + -3x + 4y = 3x + -3x + y

Combine like terms: 2x + -3x = -1x
-1x + 4y = 3x + -3x + y

Combine like terms: 3x + -3x = 0
-1x + 4y = 0 + y
-1x + 4y = y

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

Combine like terms: 4y + -4y = 0
-1x + 0 = y + -4y
-1x = y + -4y

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

Divide each side by '-1'.
x = 3y

Simplifying
x = 3y

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