In this paper, we tentatively assign the [Formula: see text] as the vector tetraquark state with a relative P-wave between the scalar diquark pair, and explore the three-body strong decays [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] with the light-cone QCD sum rules by assuming contact four-meson coupling constants. The resulting partial decay widths are too small to account for the experimental data, and we expect those decays take place through an intermediate meson. We can search for the intermediate states and precisely measure the branching fractions to diagnose the nature of the Y states.