Given lines  $L_1:x+2y=1;L_2:2x-y=2$. Let $S_1$ be the set of all the lines passing through point of intersection of $L_1$ and $L_2$. Let L be the line which belongs to $S_1$, which is at a distance of  $\sqrt{5}$ from the point $(2,-3)$. Then the sum of length(s) of y intercept of all possible distinct line(s) of L is P. then the value of 2P is ___ (If only one L is possible then write answer is length of y intercept of L)