Processes for cofeeding waste plastic and bio feedstocks to a refinery processing unit

A continuous process, comprising:

• processing, in a refinery processing unit, a first homogeneous solution comprising one or more first waste plastic feedstocks, one or more first waste plastic-immiscible bio feedstocks, one or more first waste plastic-miscible bio feedstocks and a recycled inert carrier fluid comprising a light cycle oil received from a refinery processing unit, wherein the recycled inert carrier fluid has a conversion rate in the refinery processing unit of less than about 10% using a ZSM-5 catalyst, or a conversion rate in the refinery processing unit of less than about 25% using an ECAT catalyst, in the presence of a first catalyst under catalytic cracking conditions;
• separating the recycled inert carrier fluid from the processed first homogeneous solution;
• generating a second homogeneous solution comprising one or more second waste plastic feedstocks, one or more second waste plastic-immiscible bio feedstocks, one or more second waste plastic-miscible bio feedstocks and the separated recycled inert carrier fluid;
• and
• processing the second homogeneous solution in the presence of a second catalyst under catalytic cracking conditions.