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

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


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

Remove parenthesis around (4x + -3y)
4x + -3y = (3x + y)

Remove parenthesis around (3x + y)
4x + -3y = 3x + y

Solving
4x + -3y = 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.
4x + -3x + -3y = 3x + -3x + y

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

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

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

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

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

Divide each side by '1'.
x = 4y

Simplifying
x = 4y

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