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