Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:6/8
K:C
["bc'b age"]  
X:1
L:1/8
M:6/8
K:C
"C"{d} e2 c deg |"F"{g} a2 c fga |"G"{a} b2 d bc'b |"A" age deg |"C" d/e/dc deg |"F"{g} a2 c fga | 
"G" bc'b age |"F" ded cgd |"C"{d} e2 c deg |"F"{g} acf fga |"G"{a} b2 d bc'b |"A" age deg | 
"C" ded cde |"Em" edg Beg |"F" acc' c'ba |"G" ged ded |]  