To bring up or rear someone (or an animal), supporting their livelihood and nurturing their growth; a combination of providing for and raising.
母は私を一人で養い育ててくれた。
My mother raised and supported me on her own.
戦後、村の人々が孤児を養い育てた。
After the war, the villagers fostered and raised the orphans.
子犬を養い育てるには根気と費用が必要だ。
Raising a puppy requires patience and money.