Differential Equations

Let y = y(x) be the solution of the differential equation \(\left( {(x + 2){e^{\left( {{{y + 1} \over {x + 2}}} \right)}} + (y + 1)} \right)dx = (x + 2)dy\), y(1) = 1. If the domain of y = y(x) is an open interval (\(\alpha\), \(\beta\)), then | \(\alpha\) + \(\beta\)| is equal to ______________.