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\left(4-3y\right)\left(4+3y\right)
Rewrite 16-9y^{2} as 4^{2}-\left(3y\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-3y+4\right)\left(3y+4\right)
Reorder the terms.