This is the 9895th most frequent Russian word.
администрациями
"Administrations" (plural form).
The word 'администрациями' is in the instrumental plural form and is used here to indicate the means ('through cooperation') by which the issues are resolved.
Городские проблемы часто решаются сотрудничеством между разными администрациями.
City issues are often resolved through cooperation between different administrations.
The word 'администрациями' is in the instrumental plural form and functions here as the agent performing the action ('conducted by the administrations').
В этом регионе администрациями была проведена успешная кампания по сбору средств.
In this region, administrations successfully conducted a fundraising campaign.
The word 'администрациями' is in the instrumental plural form and is used here to indicate accompaniment or the entities involved in the discussion ('discussed with the administrations').