Answer
-1.33333
Work Step by Step
$4y−3/(y^2+1)=4/y$ cross multiply
$y(4y−3)=4(y^2+1)$ distributive property
$4y2−3y=4y2+4$ subtract 4y2 from each side
$4y^2−3y−4y^2=4y^2+4−4y^2$ combine like terms
$−3y=4$ divide both sides by -3
$−3y÷−3=4÷−3$ simplify
y=−1.3333
