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7x=-6y
Subtract 6y from both sides. Anything subtracted from zero gives its negation.
\frac{7x}{7}=-\frac{6y}{7}
Divide both sides by 7.
x=-\frac{6y}{7}
Dividing by 7 undoes the multiplication by 7.
6y=-7x
Subtract 7x from both sides. Anything subtracted from zero gives its negation.
\frac{6y}{6}=-\frac{7x}{6}
Divide both sides by 6.
y=-\frac{7x}{6}
Dividing by 6 undoes the multiplication by 6.