"yadaa yadaahi dharmasya, gLaanirbhavati bhaarata"

Etymological Roots of "yadaa yadaahi dharmasya, gLaanirbhavati bhaarata"
ya + da = yada > yadaa as is yadaa yadaahi dharmasya)
dharmah (visarga) > dharmas > dharmasi > dharmasE > dharmasya

dhRi (or dhRu) + ma > dharma (Ri to aR transformation)
dhRum > dharma
kShim (anusvara) > kShiNa > kSheeNa > kShEna > kShaiNa > kShaiNya
dharma + kSheeNa = dharmakSheeNa > dharmakShaiNya
gLa (This La is the vowel after Ru and Roo, but has not been in practice while teaching or listing the svara varga (vowels).
gLam (anusvara) > gLana > gLani > gLaanRi
gLaanRi + bhavati > gLaanirbhavati (This is the Ru or Ri transformation to aR sound and the alphabet appendix.
As in "yadaa yadaahi dharmasya, gLaanirbhavati bhaarata"
yam (anusvara) + ti = yanti; da + ma = dama; dama + yanti = damayanti
yam (anusvara) > yama > yaama > aayaama
ya + ti = yati > yaati; ya + ta = yata > yaata; yaata + aayaata = yataayaata; ya + yaati = yayaati
dama > daama; daama + udara = daamOdara
vam (anusvara) + ti = vanti
va + ti = vati; padma + vati = padmaavati
sarah (visarga) + vati = sarasvati
vam (anusvara) > vama > vaama + dEva > vaamadEva

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