when you use a function on the column:
date(datepif) > '01/06/2009'
AND date(datepif) <= '01/06/2010'
an index will NOT be used. Try something like this
datepif > someconversionhere('01/06/2009')
AND datepif <= someconversionhere('01/06/2010')
Use inner joins too. There isn't any info in the question to indicate table size or if there is an index or not, so this is a guess and should work best if there are many more rows in billspaid for the date range vs rows that match the joining tables for r.controlno = 1234567, which I suspect is the case:
SELECT
COALESCE(b1.billyr,b2.billyr) AS billyr
,COALESCE(b1.billno,b2.billno) AS billno
,COALESCE(b1.propacct,b2.propacct) AS propacct
,COALESCE(b1.vinid,b2.vinid) AS vinid
,COALESCE(b1.taxpaid,b2.taxpaid) AS taxpaid
,COALESCE(b1.duedate,b2.duedate) AS duedate
,COALESCE(b1.datepif,b2.datepif) AS datepif
,COALESCE(b1.propdesc,b2.propdesc) AS propdesc
FROM rtadba.reasacct r
INNER JOIN cwdba.txpyaccts a ON r.accountno=t.accountno
INNER JOIN cwdba.txpytaxid t ON a.taxpayerno=t.taxpayerno
LEFT OUTER JOIN trcdba.billspaid b1 ON t.custno=b1.custno AND b1.datepif > someconversionhere('01/06/2009') AND b1.datepif <= someconversionhere('01/06/2010')
LEFT OUTER JOIN trcdba.billspaid b2 ON t.custno2=b2.custno AND b2.datepif > someconversionhere('01/06/2009') AND b2.datepif <= someconversionhere('01/06/2010')
WHERE r.controlno = 1234567
AND COALESCE(b1.custno,b2.custno) IS NOT NULL
create an index for each of these:
rtadba.reasacct.controlno and cover on accountno
cwdba.txpyaccts.accountno and cover on taxpayerno
cwdba.txpytaxid.taxpayerno and cover on custno
trcdba.billspaid.custno +datepif
trcdba.billspaid.custno2 +datepif