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The pronunciation of any word in English (or any language at all) is not Universal.  This is because there are many different dialects of The English Language — both throughout America, and also world-wide.  The pronunciations that are presented on GiveMeSomeEnglish!!! are based-upon a combination of both “common usage”, and the most neutral accent used in The International Common Tongue — a.k.a. “American English”.
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Basically – For this word:  the “a” is a Long “A” / Long “E” Diphthong;  for the “-ic” suffix – the “i” is pronounced as an i-schwa;  and the final “c” is hard but is (sometimes) stopped (this is the standard pronunciation of this suffix in The Common Tongue);  then for the “-ally suffix – the “a” disappears;  the “ll” combination is pronounced simply like the single letter “l” (this is the standard pronunciation of this letter combination in The Common Tongue);  and the final “y” is pronounced like the long letter “e” (this is the standard pronunciation of this suffix in The Common Tongue).

– /BAY-sihk-lee/ – /ˈbeiː.sə(ɪ)k.liː/ – Notice also that the stress is on the first syllable –

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Learn More About The Word “Basically” On Wiktionary

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