Galactose, one of the eight essential monosaccharides (Section $25.7),$ is biosynthesized from UDP glucose by galactose 4 -epimerase, where UDP $=$ uridylyl diphosphate (a ribonucleotide diphosphate; Section 28.1). The enzyme requires $\left.\mathrm{NAD}^{+} \text {for activity (Section } 17.7\right),$ but it is not a stoichiometric reactant, and NADH is not a final reaction product. Propose a mechanism.