About the Toyota sales deal...
Before I go into that, Lawrence is right. It is very possible that these machines may have been available through contract sales. Even as recently as this early spring, Sears Contract Sales had a 27" direct drive washer still available, and they had this model for several years. It would often show up at the Outlet stores, yet it was never on the retail store sales floor or even on Kenmore's internet website.
But, as to how the Toyota sales worked, in 1983, '84 and '85, I saw newspaper ads advertising various Toyota cars, and as an example, the ad would say "take home this Corolla, and get an instant $500 rebate, OR you can have this Kenmore laundry pair", which was a 400 series Kenmore set. Another feature of the ad would then be a Camry, with a $750 rebate, or a better Kenmore set. Buyers had the choice, the money or the appliances. I believe the dealer wrote up the order for the machines, and Sears delivered them.
The ad I remember most was a double page ad, toward model year-end. It featured at least three different cars and washer/dryer sets.
Gordon