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\left(-\sqrt{3}\right)x+\sqrt{3}=y
Swap sides so that all variable terms are on the left hand side.
\left(-\sqrt{3}\right)x=y-\sqrt{3}
Subtract \sqrt{3} from both sides.
\frac{\left(-\sqrt{3}\right)x}{-\sqrt{3}}=\frac{y-\sqrt{3}}{-\sqrt{3}}
Divide both sides by -\sqrt{3}.
x=\frac{y-\sqrt{3}}{-\sqrt{3}}
Dividing by -\sqrt{3} undoes the multiplication by -\sqrt{3}.
x=-\frac{\sqrt{3}y}{3}+1
Divide y-\sqrt{3} by -\sqrt{3}.
y=-\sqrt{3}x+\sqrt{3}
Reorder the terms.