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4x=10-9y
Subtract 9y from both sides.
\frac{4x}{4}=\frac{10-9y}{4}
Divide both sides by 4.
x=\frac{10-9y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{9y}{4}+\frac{5}{2}
Divide 10-9y by 4.
9y=10-4x
Subtract 4x from both sides.
\frac{9y}{9}=\frac{10-4x}{9}
Divide both sides by 9.
y=\frac{10-4x}{9}
Dividing by 9 undoes the multiplication by 9.