For what real value of \(\textcolor{red}{N}\) does the range of the function
\(\textcolor{red}{y = f(x) = \frac{4x^2 + Nx + N}{x + 1}}\)
where \(\textcolor{red}{x}\) ranges over all real numbers except \(\textcolor{blue}{-1}\) consist of all real numbers except for a single interval of the form \(\textcolor{green}{-L < y < L}\)?