The verb 'はちます' is not commonly used in modern Japanese. It may be a dialectal or archaic form. In standard Japanese, 'boil' is often expressed as '沸かす' (wakasu) or '煮る' (niru) depending on the context.
お湯をはちます。
Oyu o hachimasu.
I will boil the water.
スープをはちます。
Sūpu o hachimasu.
I will simmer the soup.
孵化する (fuka suru)
to hatch
広げる (hirogeru)
to spread