Below is an instruction that describes a task. Write a response that appropriately completes the request in English. Please answer in English.

### Instruction:
A box of rainbow nerds contains 10 purple candies, 4 more yellow candies, and 2 fewer green candies than yellow candies. How many rainbow nerds are there in the box?

### Response:
There are 4 more yellow candies than green candies, so the number of green candies is 4 less than the number of yellow candies. We can write this as:
Green = Yellow – 4
There are 2 fewer green candies than yellow candies, so the number of green candies is 2 less than the number of yellow candies. We can write this as:
Green = Yellow – 2
Therefore, the number of yellow candies is 4 less than the number of green candies. We can write this as:
Yellow = Green – 4
There are 10 purple candies, so the number of purple candies is 10 more than the number of green candies. We can write this as:
Purple = Green + 10
Therefore, the number of purple candies is 10 more than the number of yellow candies. We can write this as:
Purple = Yellow + 10
Let’s add all the equations together:
Green + Yellow + Purple = Green – 4 + Yellow – 2 + Green + 10
Green + Yellow + Purple = Yellow + 4 + Yellow – 2 + Yellow + 10
Green + Yellow + Purple = 3Yellow + 12
Green