After dyeing his hair to make his gray hair look black in a public washroom, even though hair dye adhered to the washstand, he left it as it was. Like him, there are many people who use washrooms roughly, and they are indifferent too.
上記英文は、「彼は公共の洗面所で白髪染めをした後、白髪染めが洗面台の上に付着したのに、そのまま放置した。彼のように、洗面所の使い方が荒く、無頓着でもある人が多い」となります。
dye one's hair「染髪する」
a public washroom「洗面所」
washstand「洗面台」