∵a与b互为相反数,∴a+b=0,∵c与d互为倒数,∴cd=1,3x-2y=3[3(a-1)-(a-2b)]-2[cd+c(a+b)]=6a+6b-9-2cd-2ca-2cb=6(a+b)-9-2cd-2c(a+b)=6×0-9-2×1-2c×0=-11.