A house is more the structure and physical place ("the blue house on the corner..."), while home is more the social and emotional setting ("home is where you can relax and be yourself"). The distinction is used in an expression: "A house is not a home without... (a cat/a dog/good books/people who love you/history and memories/a fire in the fireplace/a kettle on the stove... the list is as long as the number of things that make us feel relaxed, happy and comfortable)".

Разница как между домом - местом где ты живешь (home), и домом - отдельно стоящим зданием. (house)

House is the construction itselfs. For example, I live in a house, my brother lives in an apartment. Home can be both, is not about the construction, but about the place where you live. "I'm going home", it doesn't matter if it's a house or an apartment, it is where I live, so it's my home.