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4x=44-5y
Subtract 5y from both sides.
\frac{4x}{4}=\frac{44-5y}{4}
Divide both sides by 4.
x=\frac{44-5y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{5y}{4}+11
Divide 44-5y by 4.
5y=44-4x
Subtract 4x from both sides.
\frac{5y}{5}=\frac{44-4x}{5}
Divide both sides by 5.
y=\frac{44-4x}{5}
Dividing by 5 undoes the multiplication by 5.