Methods of lifting structures such as a wall of a building. A fluid that is under pressure is injected beneath the base of the wall. The pressure of the injected fluid acts against the base of the wall to lift the wall vertically. In some embodiments, a supplemental lifting force mechanism can be attached to the wall to apply a supplemental lifting force to the wall that acts together with the lifting force applied by the injected fluid. The supplemental lifting force “lightens” the wall, reducing the amount of lifting force required to be applied to the wall by the injected fluid.