3x+4y=5y-x

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Solution for 3x+4y=5y-x equation:


Simplifying
3x + 4y = 5y + -1x

Reorder the terms:
3x + 4y = -1x + 5y

Solving
3x + 4y = -1x + 5y

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.
3x + x + 4y = -1x + x + 5y

Combine like terms: 3x + x = 4x
4x + 4y = -1x + x + 5y

Combine like terms: -1x + x = 0
4x + 4y = 0 + 5y
4x + 4y = 5y

Add '-4y' to each side of the equation.
4x + 4y + -4y = 5y + -4y

Combine like terms: 4y + -4y = 0
4x + 0 = 5y + -4y
4x = 5y + -4y

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

Divide each side by '4'.
x = 0.25y

Simplifying
x = 0.25y

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