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6x=-3y
Subtract 3y from both sides. Anything subtracted from zero gives its negation.
\frac{6x}{6}=-\frac{3y}{6}
Divide both sides by 6.
x=-\frac{3y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{y}{2}
Divide -3y by 6.
3y=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
\frac{3y}{3}=-\frac{6x}{3}
Divide both sides by 3.
y=-\frac{6x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-2x
Divide -6x by 3.