O que significa 'manage to get by' mean in the "Despite poverty and systemic injustices against Koreans, the family manages to get by in Ikaino" sentence ?

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"Manages to get by" means the family is able to survive but they don't have money for luxuries or to buy anything that is not absolutely necessary. For example: They can't afford to go to movies, can't eat out at restaurants, no fast food restaurants either, can't buy makeup, can't buy snacks, can't pay for school trips, can't go to amusement parks. They can only eat what is cooked at home. Sometimes they can't even grocery shop and must only use what they already have like canned goods already in the cabinets. This list would be different for every family. So they must "manage" their money and resources very carefully. "Get by" means until the shortage is over or from week to week or month to month depending on when they get their next paycheck.

So "manages to get by" is to manage (control) what they have and use so they can survive until inflation goes back down or until the family begins to make more money.