If long-term care beds decrease, that becomes impossible, and it will also impede general ward medical care.

Literal

Long-term-care-beds [subject-が] if-decrease that [subject-が] can't-do, general-beds [possessive-の] medical-care [to-にも] hindrance cause.

支障をきたす (cause hindrance) is a formal set phrase in policy and medical writing. ~ず is the classical negative conjunctive (literary equivalent of ~ないで), linking two consequences. 療養病床 and 一般病床 are medical administrative terms distinguishing long-term care from acute care beds.