I used to think that “3 times lower” means y = x / 3 but “lower by 3 times” means y = x - 3 * x = 2 * x. That is the first term is multiplicative and the other additive. That’s how it works in my native language. I read your message as “3 times lower” means y = x - 3 * x = –2 * x in English. Have I used it wrong for all these years? I see you’re from the USA, so I assume you’re either native or advanced Engligh user. Is there a multiplicative term in English?