Grammatically Correct: The writer's essential guide to punctuation ...

PUNCTUATION
DO NOT USE A HYPHEN WHEN THE FIRST WORD OF A
COMPOUND ADJECTIVE IS AN ADVERB ENDING IN LY
Adjectives are words that modify nouns; adverbs are words that
modify verbs. Adverbs also modify adjectives, participles (verb forms
acting as adjectives) and other adverbs. Adverbs are usually very
easy to recognize: The majority are formed by taking an adjective
and adding ly to it. (Note that some adjectives end in ly as well.)
The words that make up compound adjectives may individually
be nouns, adjectives, verbs, participles or adverbs. For all but the
last, hyphens are often necessary because, as previously discussed,
word order alone may not be sufficient to clarify which words are
modifying which. An adverb, however, always modifies the word
that immediately follows it (unless it's the last word in the sentence).
Since no ambiguity is possible, putting a hyphen after an adverb to
link it with the next word would be redundant.
The hyphens in the following examples are incorrect and should
be removed:
The organization was run by a highly-motivated team.
She admitted that she had poorly-developed spatial skills.
They showed him selections of beautifully-woven fabric.
Add two cups of freshly-chopped parsley.
She led the guests into an impressively-decorated sitting room.
The no-hyphen rule also applies, of course, when the adverbadjective
compound follows the noun.
The team was highly motivated.
The fabric was beautifully woven.
The parsley was freshly chopped.
Exceptions
Do include a hyphen after an ly adverb if the compound adjective
contains at least two more components and those two are hyphenated.
You wouldn't want to have part of a compound using hyphens,
and part not.
The engineer emerged with some hastily-drawn-up plans.
It sounded like a poorly-thought-out strategy.
He turned in a clumsily-done-up sketch.
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