The elimination of the gallbladder is accomplished through a laparoscopic procedure, wherein a specialized tool called a laparoscope is inserted through a small incision in the abdomen. This laparoscope, equipped with a fiber-optic system, enables surgeons to visualize and navigate the internal structures with precision. By utilizing this minimally invasive technique, medical professionals can effectively remove the gallbladder while minimizing trauma and promoting faster recovery for the patient.