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38x=19-5y
Subtract 5y from both sides.
\frac{38x}{38}=\frac{19-5y}{38}
Divide both sides by 38.
x=\frac{19-5y}{38}
Dividing by 38 undoes the multiplication by 38.
x=-\frac{5y}{38}+\frac{1}{2}
Divide 19-5y by 38.
5y=19-38x
Subtract 38x from both sides.
\frac{5y}{5}=\frac{19-38x}{5}
Divide both sides by 5.
y=\frac{19-38x}{5}
Dividing by 5 undoes the multiplication by 5.