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10x=40-4y
Subtract 4y from both sides.
\frac{10x}{10}=\frac{40-4y}{10}
Divide both sides by 10.
x=\frac{40-4y}{10}
Dividing by 10 undoes the multiplication by 10.
x=-\frac{2y}{5}+4
Divide 40-4y by 10.
4y=40-10x
Subtract 10x from both sides.
\frac{4y}{4}=\frac{40-10x}{4}
Divide both sides by 4.
y=\frac{40-10x}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{5x}{2}+10
Divide 40-10x by 4.