From https://muish.wordpress.com/2018/05/22/bts-outro-tear-english-translatio... :
이별 is not quite farewell.. there is no exact word in English. I guess it’s more like “parting” or “time to part”..
There is no exact word for 미련/regrets either. It’s kind of like…residual love/need that makes it hard to let go.
Farewell/time to part is like a tear, in that it creeps up on you without knowing, like tears welling up in your eyes.
The words that could not be said, are also like tears, because they used words for “stream/flow down” that is used to express tears streaming down.
And..regrets are also like tears, as they crawl on the face.
Without actually saying the words “tear” except once in the first line, this section really re-enforces the imagery of tears.
"Empties with even just that wind that passes by."
This line ends with the word “empties” since the word order in Korean is very different from English. Empties/비어 sounds the same as “beer” in Korean.
"My long-time friends inside me that are ugly and pathetic"
This is reminiscent of his song “Reflection” in “Wings” album. Where he calls “fear” his friend that comes and takes his hand.
**sounds like “tear as in crying”
***sounds like “tear as in ripping”
RM mentioned these different versions on his V-Live review of the album on May 28, 2018 (starting at 45 min)
The word “tear” is interesting. If you pronunce it “teer”, it’s tear from the eyes, but if you say “tair”, it’s to rip. So for us, which does “tear” signify to each of us? For me it’s “tears from eyes”..and for Yoongi hyung, it was “ripping”, and for Hoseokie, it’s fear of each of those moments…so for him, it’s “fear”.
“(something) is a luxury to you” is an expression commonly used in Korea to mean “you don’t deserve it”. So he doesn’t deserve to even cry and shed tears – and implies he’s actually at fault.
The terms he used for “step on” is an old Korean word and is not used in normal speech in modern-day. Most Koreans are very familiar with it though, as it appears in the very well-known poem, “Azaleas” by Kim Sowol.

You can read extended meaning of this poem here http://anthony.sogang.ac.kr/Azaleas.htm

The Korean Azaleas grow wild, often as the first flowers to bloom in spring. They’re edible too, so kids pick them and eat them. They’re also baby pink, not the darker reddish pink that Westerners are often familiar with.

To “step on” the azaleas in this poem gives the impression of stepping on all the purity, innocence and happiness… an act of cruelty and indifference Which emphasizes the careless cruelty when used in this song.

흘리다 – means to flow, again as the tear imagery without actually saying tear.
However, the line seems to imply the person is doing the 흘리다/flowing. When applied to a person, this verb usually means to lose things/leave things behind, as if they’re inconsequential.
“the reason for tearing” uses the Korean word for “ripping”, and most Koreans who don’t speak English probably won’t know that it’s wordplay for tear (as eyes water)/tear(as in rip something)….
****used the word for ripping here