A common example of β^- decay is _ 15 ^ 32 _ 16 ^ 32 + x + y Then x...

In $\beta^-$ decay, a neutron inside the nucleus transforms into a proton, emitting an electron and an anti-neutrino.

The nuclear reaction is given by:
${}_{15}\textP^{32} \longrightarrow {}_{16}\textS^{32} + e^- + \bar{\nu}_e$

Thus, $x$ and $y$ stand for an electron and an anti-neutrino.

Answer: electron and anti-neutrino