I couldn't find YHEE6M, but here are the fare rules for GHEE6M (which is a higher-discount ticket, so rules will be harsher than for YHEE6M):
Fare details for GHEE6M
REGULAR EXCURSION SPECIAL FARE FARE
BK CODE: G -
RES/TKTG
SGMTS USING THIS RULE MUST BE CONFIRMED.
MIN STAY
5 DAYS. MEASURED FROM DPTR FROM GATEWAY.
MAX STAY
RETURN TRVL MUST COMMENCE NO LATER THAN 6 MONTHS AFTER DPTR FROM ORIGIN.
SEASONS
16JUN-15AUG OR 11-23DEC. SAME DATES APPLY EACH YEAR. SEASON IS BASED ON DATE OF ORIGIN.
BLACKOUTS
NO BLACKOUT RESTRICTIONS APPLY.
FLT APPL
APPLIES TO ANY FLIGHT EXCEPT QF 303-318/QF 321-386/QF 389-399/QF 2921-3999/QF 5000-5999/BA 3000-3379/BA 4250-4319/BA 4450-6199/BA 6670-6799/BA 7000-7299/BA 7500-7599/BA 8300-8599/CX 1000-1999/CX 7000-7999/TG 1000-9999 AND APPLIES TO ANY LY/QF/BA/CX/TG FLIGHT.
STOPOVERS
A FREE STOPOVER IS PERMITTED AT BKK/BOM/HKG, IF IN ROUTING APPLICABLE TO FARE. APPLIES TO HALF ROUNDTRIP ITINERARIES. A STOPOVER OCCURS WHEN THE PASSENGER DOES NOT DEPART AN INTERMEDIATE POINT WITHIN 24 HOURS.
TICKET RESTRICTIONS
TICKET RESTRICTION MAY APPLY. CONTACT THE CARRIER FOR PROVISIONS. NOTE: TICKETING MUST BE MADE ON LY/QF/BA TICKET STOCK ONLY.
DISCOUNTS
75 PCT OF THE ADT FARE IS CHARGED FOR A CNN PSGR 2 THRU 11 YRS OF AGE. CNN PSGR MUST BE ACCOMPANIED ON ALL SGMTS BY AN ADT PSGR TRAVELING IN THE SAME COMPARTMENT. - - - - 10 PCT OF THE ADT FARE IS CHARGED FOR AN INF PSGR UNDER 2 YRS OF AGE NOT OCCUPYING A SEAT. INF PSGR MUST BE ACCOMPANIED ON ALL SGMTS BY AN ADT PSGR TRAVELING IN THE SAME COMPARTMENT.
TRANSFERS
2 TRANSFERS PERMITTED, 1 IN EACH DIRECTION IN ADL/BNE/CNS/ MEL/SYD. -TRANSFERS MUST OCCUR BETWEEN DOMESTIC AND INTERNATIONAL FLIGHTS ONLY. ADDITIONALLY 2 TRANSFERS PERMITTED, 1 IN EACH DIRECTION IN BKK/HKG/ BOM.
COMBINATIONS
CARRIER / RULE / FARE CIRCLE OPEN ROUND BASIS TRIP JAW TRIP SAME / SAME / SAME N C C SAME / SAME / DIFF N C C SAME / DIFF / SAME N C C SAME / DIFF / DIFF N C C DIFF / SAME / SAME N C C DIFF / SAME / DIFF N C C DIFF / DIFF / SAME N C C DIFF / DIFF / DIFF N C C Y / PERMITTED N / NOT PERMITTED - / DOES NOT APPLY C / SEE TEXT FOR CONDITIONS ROUND TRIP - -PERMITTED. -MAY BE COMBINED WITH ANY ROUND TRIP G-EE6M TYPE/M-EE6M2 TYPE FARES GOVERNED BY IPRAP RULE 5221 AND IPRMEAS RULE 5221 AND 033S RULE LYK7 VIA LY/QF/BA. -MOST RESTRICTIVE CONDITIONS APPLY. CIRCLE TRIP - -NOT PERMITTED. OPEN JAW - -SINGLE OPEN JAW PERMITTED AT EITHER ORIGIN OR DESTINATION. -MAY BE COMBINED WITH ANY ROUND TRIP G-EE6M TYPE/M-EE6M2 TYPE FARES GOVERNED BY IPRAP RULE 5221 AND IPRMEAS RULE 5221 AND 033S RULE LYK7 VIA LY/QF/BA. -MOST RESTRICTIVE CONDITIONS APPLY. END-ON-END - -PERMITTED. TRAVEL MUST BE VIA THE FARE COMBINATION POINT.
CO-TERMINALS
NOT APPLICABLE.
ROUTINGS
EXCESS MILEAGE SURCHARGE MAY BE IGNORED UP TO 25M WHEN TRAVEL EXCEEDS THE MAXIMUM PERMITTED MILEAGE
MISC
TITLE AND APPLICATION - ROUNDTRIP EXCURSION FARES FROM AUSTRALIA TO ISRAEL VIA ASIA Y RT/SOJ VIA EH ON QF/BA/LY ONLY FROM : ADL/BNE/CNS/MEL/SYD/PER TO : TLV RT OPEN JAW PERMITTED RBDS LY - G OR N QF/BA/CX - M TG - S/V FARE BASIS CODE - GLEE6M / GKEE6M / GHEE6M. MINIMUM STAY - 5 DAYS. TICKET ENDORSEMENTS - FARE RESTRICTIONS APPLY.
If you want to look for yourself, try
Travelocity and put in your flihgt details. You might be best to contact your TA to find out the cost for re-ticketing.