The spelling of the phrase "brought rear" is straightforward once you understand the sounds of the words. In IPA phonetic transcription, the word "brought" is written as /brɔːt/, with the "ou" making an "aw" sound and the "gh" being silent. "Rear," on the other hand, is written as /rɪər/, with the "ea" making an "ee" sound and the "r" being pronounced. Put together, "brought rear" would be pronounced as /brɔːt rɪər/.
The phrase "brought rear" does not have a distinct etymology as it is not a commonly used phrase or expression in the English language. It appears to be a combination of the verb "brought" and the noun "rear", but the precise meaning or context in which it is being used is unclear. If you can provide more information or context, I may be able to assist you further.