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\frac{5}{2}x=2-y
Subtract y from both sides.
\frac{\frac{5}{2}x}{\frac{5}{2}}=\frac{2-y}{\frac{5}{2}}
Divide both sides of the equation by \frac{5}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{2-y}{\frac{5}{2}}
Dividing by \frac{5}{2} undoes the multiplication by \frac{5}{2}.
x=\frac{4-2y}{5}
Divide 2-y by \frac{5}{2} by multiplying 2-y by the reciprocal of \frac{5}{2}.
y=2-\frac{5}{2}x
Subtract \frac{5}{2}x from both sides.