Green Tea (Solution)

by Derek Kisman, based on an idea by Dan Gulotta

Here is an unordered list of answers to the twenty round puzzles, for reference. The colors identify which puzzle answer this is (e.g. DAMP is the answer to the red/green edge cubelet). 
        RYB   SHLEP
        RY    EXTANT
        RYG   DEDITION
        RG    DAMP
        RWG   BOIL
        RW    UNARY
        RWB   CONTIGUOUS
        RB    BASSIST
        YB    SLAUGHTER
        YG    BEER CHUGGING
        WG    EDITH PIAF
        WB    CREAM OF TARTAR
        OYB   ARMORED RECON
        OY    HYPAPANTE
        OYG   COMMEMORATIVE BATS
        OG    DERRICK TRUCK
        OWG   BROWN ROT
        OW    ATTORNEYS GENERAL
        OWB   SACROSANCT
        OB    IMPROMPTU

Each of the answers starts with one of the letters B/C/D/E. On the Boston T’s green line, there are four branches labeled B/C/D/E. Starting at the end of the line identified by the first letter, and counting stations up toward Lechmere for each letter in the answer. Read the first letters of these stations in a circle for the answer, BALANCER.

   Babcock Street Station      BEER CHUGGING
   Arlington Station           COMMEMORATIVE BATS
   Longwood Station            DERRICK TRUCK
   Allston Street Station      BROWN ROT
   Northeastern Univ. Station  EDITH PIAF
   Chiswick Road Station       BOIL
   Eliot Station               DAMP
   Reservoir Station           DEDITION