Systems and methods for processing a plastic are disclosed. The system includes a feeding device in fluid communication with a cracking unit. A feed stream comprising a plastic is depolymerized in the feeding device at a depolymerization temperature to produce a hydrocarbonaceous wax stream. The hydrocarbonaceous wax stream is then cracked in the cracking unit. The cracking is conducted at a cracking temperature that is lower than, or the same as the depolymerization temperature.