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7x=84-6y
Subtract 6y from both sides.
\frac{7x}{7}=\frac{84-6y}{7}
Divide both sides by 7.
x=\frac{84-6y}{7}
Dividing by 7 undoes the multiplication by 7.
x=-\frac{6y}{7}+12
Divide 84-6y by 7.
6y=84-7x
Subtract 7x from both sides.
\frac{6y}{6}=\frac{84-7x}{6}
Divide both sides by 6.
y=\frac{84-7x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{7x}{6}+14
Divide 84-7x by 6.