The reactions Sr87(He3,d)Y88, Sr87(α,t)Y88, Sr88(He3,t)Y88, and Y89(He3,α)Y88 were studied and the data were used to construct a level scheme of Y88. Spin and parity assignments are suggested for many new states below 2.5 MeV. The principal components of their wave functions are interpreted in terms of particle-hole multiplets. The angular distributions from the (He3,t) reaction are not well fitted by distorted-wave calculations. Some systematic patterns of the (He3,t) reaction mechanism are noted, but the exceptions indicate that the conventional treatment of the (He3,t) reaction may be far from adequate.