The consciousness of the bandit disappeared just after hearing Yale's words. Yale had been trying to use Soul-search with some distance instead of direct contact, but the effect was even better than before; he guessed that the fact his hatred for that bandit had increased influences the harming power of Soul-search.
Soul Skills were extremely difficult to control, and emotions could influence them easily, so when Yale used Soul-search with a higher murder intent than before, the bandit virtually died instantly although his body was technically alive.
Yale didn't have a good control of it, but as Liye said, harming a soul was far easier than healing it, so even if Yale didn't execute Soul-search perfectly due to hatred, the skill was just deadlier than it should be.