Let's talk about like a bit first. Like can be used two ways. First, as a preposition, which is how we use it in comparisons.
That coat is like this one.
It is often like this on Sundays.
Some rules for that version of like. You CANNOT use it before a clause. In other words, you cannot say:
Dave lives in a stucco house, like Nancy does.
You can't say that because "does" is a verb, so the part after the "like" is a clause. You must use AS before a clause.
Deliberately imitating the technique of Louis Armstrong, jazz singer Billie Holiday’s approach to singing was to use her voice like an instrument, in that she ranged freely over the beat, flattened out the melodic contours of tunes, and, in effect, recomposed songs to suit her range, style, and artistic sensibilities.
A. Billie Holiday’s approach to singing was to use her voice like an instrument, in that she ranged freely over the beat, flattened
PROBLEM: The opening clause here is
fine ("like an instrument"). This COULD have been okay. Except the sentence has other problems. We want the present participle "ranging/flattening/recomposing" to modify "use," as we are giving examples of how she did that. "In that" does not correctly open this modifier.
C. Billie Holiday approached singing by using her voice like other musicians played instruments, ranging freely over the beat, flattening
PROBLEM: You can't use "like" here, because you have a CLAUSE after the "like" ("played" is the verb that makes it a clause). You would have to use "as" or "in the same way that" (which also opens a clause).
E. Billie Holiday approached singing by using her voice like other musicians instruments, ranging freely over the beat, flattening.
PROBLEM: Wrong comparison. She used her voice IN THE WAY that other musicians USED their instruments, not as if her voice were similar to the physical instruments of other musicians.
Clearer?
-t