Answer
$y=-1\frac{1}{3}$
Work Step by Step
$\frac{4y-3}{y^2+1}=\frac{4}{y}$ cross multiply
$y(4y-3)=4(y^2+1)$ distributive property
$4y^2-3y=4y^2+4$ subtract $4y^2$ from each side
$4y^2-3y-4y^2=4y^2+4-4y^2$ combine like terms
$-3y=4$ divide both sides by -3
$-3y\div-3=4\div-3$ simplify
$y=-1\frac{1}{3}$
