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7x-6y=0
Combine 9x and -2x to get 7x.
7x=6y
Add 6y to both sides. Anything plus zero gives itself.
\frac{7x}{7}=\frac{6y}{7}
Divide both sides by 7.
x=\frac{6y}{7}
Dividing by 7 undoes the multiplication by 7.
7x-6y=0
Combine 9x and -2x to get 7x.
-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.
y=\frac{7x}{6}
Divide -7x by -6.