It becomes cool here, just from the wind that comes from the next room's air conditioner.
"It becomes cool here"＝「ここは涼しくなる」
"just from the wind"＝「ただの風で」
"that comes from the next room's air conditioner."＝「隣の部屋のクーラーから来るので」
追加："I can somehow survive without turning on the air conditioner in this room."＝「この部屋のクーラーを付けなくても、何とか大丈夫です。」
アメリカ合衆国 
