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\sqrt{2x}+\sqrt{3y}-\sqrt{3y}=-\sqrt{3y}
Subtract \sqrt{3y} from both sides of the equation.
\sqrt{2x}=-\sqrt{3y}
Subtracting \sqrt{3y} from itself leaves 0.
2x=3y
Square both sides of the equation.
\frac{2x}{2}=\frac{3y}{2}
Divide both sides by 2.
x=\frac{3y}{2}
Dividing by 2 undoes the multiplication by 2.
\sqrt{3y}+\sqrt{2x}-\sqrt{2x}=-\sqrt{2x}
Subtract \sqrt{2x} from both sides of the equation.
\sqrt{3y}=-\sqrt{2x}
Subtracting \sqrt{2x} from itself leaves 0.
3y=2x
Square both sides of the equation.
\frac{3y}{3}=\frac{2x}{3}
Divide both sides by 3.
y=\frac{2x}{3}
Dividing by 3 undoes the multiplication by 3.