Let slope of the tangent line to a curve at any point \( P(x, y) \) be given by \( \frac{x y^{2}+y}{x} \). If the curve …

Let slope of the tangent line to a curve at any point \( P(x, y) \) be given by \( \frac{x y^{2}+y}{x} \). If the curve intersects the line \( x+2 y=4 \) at \( x=-2 \), then the value of \( y \), for which the point \( (3, y) \) lies on the curve, is:

[JEE Main 2021, 26 Feb (Shift 2)]