#### Answer

y = 1

#### Work Step by Step

$\frac{2}{y}$+$\frac{1}{2}$=$\frac{5}{2y}$
2y($\frac{2}{y}$+$\frac{1}{2}$)=2y$\frac{5}{2y}$
2y$\frac{2}{y}$+2y$\frac{1}{2}$=5
2*2+y=5
4+y=5
y=1
The solution is 1
Check
Let x=1
$\frac{2}{y}$+$\frac{1}{2}$=$\frac{5}{2y}$
$\frac{4}{2}$+$\frac{1}{2}$=$\frac{5}{2}$
$\frac{5}{2}$=$\frac{5}{2}$