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Three-body (Kbar-N-pi)--(pi-Y-pi) coupled channel Faddeev equations with relativistic kinematics are solved in search for quasibound poles in the complex plane, leading to a I(JP)=1(3/2-) (Kbar-N-pi) quasibound state at M ~ (1570 +/- 10) MeV and width greater than 60 MeV near the (Kbar-N-pi) threshold. 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