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4x=7y-13
Swap sides so that all variable terms are on the left hand side.
\frac{4x}{4}=\frac{7y-13}{4}
Divide both sides by 4.
x=\frac{7y-13}{4}
Dividing by 4 undoes the multiplication by 4.
7y=4x+13
Add 13 to both sides.
\frac{7y}{7}=\frac{4x+13}{7}
Divide both sides by 7.
y=\frac{4x+13}{7}
Dividing by 7 undoes the multiplication by 7.