In a stockpot over medium heat, simmer apple juice, brown sugar, maple syrup and dry ingredients in the water until the salt and sugar dissolve, stirring occasionally. Remove from heat and let cool.
Submerge the turkey in the brine, top with a plate, and put a large can or a few cans on the plate to hold the turkey under the brine.
Refrigerate the turkey in the brine for 12 to 24 hours.
Before roasting, remove the turkey from the brine, rinse it off under cold water so it's not too salty, and pat it dry with paper towels.
Follow your favorite recipe and roast without using additional salt.