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8x=4-5y
Subtract 5y from both sides.
\frac{8x}{8}=\frac{4-5y}{8}
Divide both sides by 8.
x=\frac{4-5y}{8}
Dividing by 8 undoes the multiplication by 8.
x=-\frac{5y}{8}+\frac{1}{2}
Divide 4-5y by 8.
5y=4-8x
Subtract 8x from both sides.
\frac{5y}{5}=\frac{4-8x}{5}
Divide both sides by 5.
y=\frac{4-8x}{5}
Dividing by 5 undoes the multiplication by 5.