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6x=60-5y
Subtract 5y from both sides.
\frac{6x}{6}=\frac{60-5y}{6}
Divide both sides by 6.
x=\frac{60-5y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{5y}{6}+10
Divide 60-5y by 6.
5y=60-6x
Subtract 6x from both sides.
\frac{5y}{5}=\frac{60-6x}{5}
Divide both sides by 5.
y=\frac{60-6x}{5}
Dividing by 5 undoes the multiplication by 5.
y=-\frac{6x}{5}+12
Divide 60-6x by 5.