In a recent paper, we presented a calculation of the O(alpha(s)) virtual corrections to b-->sl(+)l(-) and of those bremsstrahlung terms that are needed to cancel the infrared divergences. In the present paper we work out the remaining O(alpha(s)) bremsstrahlung corrections to b-->sl(+)l(-), which do not suffer from infrared and collinear singularities. These new contributions turn out to be small numerically. In addition, we also investigate the impact of the definition of m(c) on the numerical results.