Wirelessly posted (BlackBerry: BlackBerry8530/5.0.0.1030 Profile/MIDP-2.1 Configuration/CLDC-1.1 VendorID/417)
Also, if you end up using Avios for travel in J, take a look at BAEC's multi-partner award chart, which would require slightly fewer Avios for this trip, as long as you include at least two partners (maybe CX and JL, maybe CX and RJ, or maybe QR and CX). You could even cross both the Atlantic and the Pacific in J for 200,000 Avios, with the lowest cash co-pay.
And there was a recent thread in this forum (within the past month?) about a multi-partner, mixed-cabin award that priced at the Economy level as long as just one long segment on the award was flown in BA Economy Class. Whether the BA Y segment has to be the longest one on the itinerary, I'm not sure.