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6x=-9y
Subtract 9y from both sides. Anything subtracted from zero gives its negation.
\frac{6x}{6}=-\frac{9y}{6}
Divide both sides by 6.
x=-\frac{9y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{3y}{2}
Divide -9y by 6.
9y=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
\frac{9y}{9}=-\frac{6x}{9}
Divide both sides by 9.
y=-\frac{6x}{9}
Dividing by 9 undoes the multiplication by 9.
y=-\frac{2x}{3}
Divide -6x by 9.