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5x=15-7y
Subtract 7y from both sides.
\frac{5x}{5}=\frac{15-7y}{5}
Divide both sides by 5.
x=\frac{15-7y}{5}
Dividing by 5 undoes the multiplication by 5.
x=-\frac{7y}{5}+3
Divide 15-7y by 5.