A method of removing a backing layer from a panel, made of an uncured pre-impregnated fiber-reinforced polymer, comprises a step of orienting the panel into a backing-separation orientation relative to an edge-engagement tool. The method also comprises a step of positioning the panel into a backing-separation position relative to the edge-engagement tool. The method further comprises a step of moving the edge-engagement tool, when the panel is in the backing-separation orientation and the backing-separation position, so that backing-engagement features of the edge-engagement tool engage the backing layer, at only an edge portion of the backing layer, and just the edge portion of the backing layer separates from the panel. The method additionally comprises a step of gripping the edge portion of the backing layer, and, when gripped, moving the backing layer relative to the panel so that an entirety of the backing layer separates from the panel.