Stir whiskey, molasses, and brown sugar in a saucepan until brown sugar has dissolved. Place over medium heat, bring to a simmer, and turn off heat; stir salt and hot pepper sauce into mixture. Pour marinade into a large bowl.
Place turkey breast into the marinade with skin side down; let stand for 1 hour, turning turkey breast over occasionally. Transfer turkey to a roasting pan. Retain marinade for basting.
Preheat oven to 450 degrees F (230 degrees C).
Roast turkey breast in the preheated oven until a meat thermometer inserted into the thickest part of the meat reads 160 degrees F (70 degrees C), about 45 minutes. Baste turkey occasionally with retained marinade. Allow turkey breast to rest for 10 minutes before slicing.
Aluminum foil can be used to keep food moist, cook it evenly, and make clean-up easier.
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