In order to get into Euston after coming off the ECML it has to reverse in Wembley Yard - I'm not quite sure what exactly you want explained?
Maybe the question actually was, how does it get to Wembley Yard (facing the wrong way, so to speak) from the ECML.
I presume the answer is that it "turns right" just before KX, round the loop north of StP to go up the incline onto the NLL? And then quickly leaving the NLL and picking up the WCML by going though the link via South Hampstead; and then the first place it can "pull in" to change ends is Wembley? (Or it could stay on the NLL longer, and join the WCML at Willseden Junction instead of directly at South Hampstead.)
Alternatively, there'd be a route by using the N-W curve just south of Harringay to leave the ECML, on to the Goblin [Barking to Gospel Oak line], continuing on the NLL after Gospel Oak to pick up the WCML at Willseden Junction, and then into Wembley to reverse as before. This might be a tiny bit shorter/quicker perhaps, but someone has referred to a train accessing Euston from the WCML going past Finsbury Park first - which would only be the case if using the NLL incline at StP.