Simplifying
4x + 3y = 2y + -3x
Reorder the terms:
4x + 3y = -3x + 2y
Solving
4x + 3y = -3x + 2y
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 + 2y
Combine like terms: 4x + 3x = 7x
7x + 3y = -3x + 3x + 2y
Combine like terms: -3x + 3x = 0
7x + 3y = 0 + 2y
7x + 3y = 2y
Add '-3y' to each side of the equation.
7x + 3y + -3y = 2y + -3y
Combine like terms: 3y + -3y = 0
7x + 0 = 2y + -3y
7x = 2y + -3y
Combine like terms: 2y + -3y = -1y
7x = -1y
Divide each side by '7'.
x = -0.1428571429y
Simplifying
x = -0.1428571429y
( hope this helps )