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5x=16-6y
Subtract 6y from both sides.
\frac{5x}{5}=\frac{16-6y}{5}
Divide both sides by 5.
x=\frac{16-6y}{5}
Dividing by 5 undoes the multiplication by 5.
6y=16-5x
Subtract 5x from both sides.
\frac{6y}{6}=\frac{16-5x}{6}
Divide both sides by 6.
y=\frac{16-5x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{5x}{6}+\frac{8}{3}
Divide 16-5x by 6.