A B757 FLIGHT CREW LOST THEIR LEFT MAIN FUEL PUMP AND THE RIGHT HYDRAULIC SYSTEM. THEY DECLARED AN EMERGENCY AND RETURNED TO THE DEPARTURE AIRPORT.

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CLBING THROUGH FL220; I GOT A L MAIN FUEL PUMP FAILURE. I RAN THE QRH CHKLIST AND SHUT OFF THE PUMP. I CHKED THE EICAS STATUS AND NOTICED AN AFT EQUIP EXHAUST FAN #1 FAILURE. I THEN ALSO NOTICED THE R HYD SYS RF INDICATION AND ZERO R HYD QUANTITY. I HAD THE FO (WHO WAS THE PF) TAKE OVER ATC COM AND DIRECTED HIM TO DECLARE AN EMER AND RETURN TO ZZZ WHILE I RAN THE QRH CHKLIST FOR LOSS OF HYD QUANTITY (R). WE FLEW AN UNEVENTFUL APCH TO ZZZ RWY XX. WX WAS VMC WITH WINDS GUSTING TO 22 KTS OUT OF THE N. ON DSCNT; WE DID GET THE SYMPATHETIC FAILURES OF SOME SPOILERS; AUTOBRAKES; R ELEVATOR TRIM AND AUTOBRAKES AS THE R SYSTEM LOST PRESSURE. ONCE WE WERE AT THE GATE; WE ALSO NOTED THAT THE DOME LIGHTS HAD COME ON AND WE WERE UNABLE TO EXTINGUISH THEM. MAINT FIRST VERIFIED THAT THE R SYSTEM WAS EMPTY BUT COULD NOT FIND A LEAK. THEIR THEORY WAS THAT THE FUEL/HYD HEAT EXCHANGER IN THE WING FUEL CELL FAILED AND THE LEAKED HYD FLUID WAS PROBABLY WHAT CAUSED THE FUEL PUMP FAILURE. THE ENTIRE CREW (COCKPIT AND CABIN) ELECTED NOT TO CONTINUE FLYING; AS SAFETY DICTATED IT WOULD BE MORE PRUDENT TO HAVE AN UNAFFECTED CREW CONTINUE.