Etymology
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latero- 

combining form used from 19c. to represent Latin latus "the side, flank of humans or animals, lateral surface," a word of uncertain origin. The Latin word also was used to express intimacy, attachment, or relationship via the notion of "attach to the side, at the side of."

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dextro- 

word-forming element meaning "toward or on the right-hand side," from combining form of Latin dexter (from PIE root *deks- "right, opposite of left; south").

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-try 
extended form of -ry sometimes used in forming modern abstract nouns, often for humorous effect, based on the many -try words where the -t- is part of the Latin stem (geometry, idolatry, industry, pedantry, etc.).
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