Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:4/4
K:G
['FGAF GABG', 'fedf edce dBGB']  
X:1
L:1/8
M:4/4
K:G
|: D/E/F | G2 BG FGAF | GABG DEDB | c2 Ac BAGB | AGFG AcBA | G/G/GBG FGAF | GABG D/D/DDB | 
 cedc BdcB | ADFA G2 :: d/e/f | g2 eg fedf | edce dBGB | c/c/cAc BAGB | AGFG Adef | g/a/geg fedf | 
 edce dBGB | c2 A/B/c BAGB | ADFA G2 :|  