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ワザに必要なエネルギーよりも多く「水」エネルギーがついている時、多い「水」エネルギー1つにつき、10ダメージを追加する。

I'm having trouble understanding よりも多くand 多い, Is it literally saying 'more than many needed to use' and 'many energy'?

1

Your understanding of the first 多く is correct, "more than necessary for (using) the ワザ". The second 多い is indeed tricky, but in this context it obviously means "surplus/excess".

ワザに必要なエネルギーよりも多く「水」エネルギーがついている時、
When [it] has more water energy than what is necessary for the ワザ,

多い「水」エネルギー1つにつき、10ダメージを追加する。
Inflicts additional 10 damage per 1 surplus water energy.

You can think ワザに必要なエネルギーよりも is omitted before the second 多い. In other words, this 多い「水」エネルギー is not simple "much energy" but "more-than-necessary-to-use-the-ワザ energy". It can be understood in the context, but 余剰の or 余った would've been more concise.

余剰の「水」エネルギー1つにつき、10ダメージを追加する。

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  1. 私は多くの本を持っている。I have many books.
  2. 私はあなたよりも多くの本を持っている。 I have more books than you.
  3. 私はあなたより多くの本を持っている。 I have more books than you.

1 and 2 are apparently different from each other.
However, although the nuance is slightly different between 2 and 3, they are the same when translated into English using "google translation".

I examined here whether "よりも多く" and "より多く" are interchangeable. According to my brief examination I can see that in most cases they are not interchangeable. So what is the difference? I will investigate the difference further in order to explain it clearly. The answer will be made after the survey is over.

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