This study is for adult patients with intrahepatocellular carcinoma. The purpose of this research study is to evaluate the safety and maximum tolerated dose of Gemcitabine and Cisplatin with 90Y TARE. Subjects will have screening tests to determine if he or she is eligible to participate in this study. If the subject is eligible and wishes to enroll, he or she will begin chemotherapy treatment with Gemcitabine and Cisplatin. During the chemotherapy treatment, the patient will receive the 90Y TARE treatment. Study treatment will last up to 8 cycles; each cycle is 21 days. Subjects will be followed after treatment is completed for up to 6 years after treatment started.