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5\left(9y-16x^{2}y\right)
Factor out 5.
y\left(9-16x^{2}\right)
Consider 9y-16x^{2}y. Factor out y.
\left(3-4x\right)\left(3+4x\right)
Consider 9-16x^{2}. Rewrite 9-16x^{2} as 3^{2}-\left(4x\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(-4x+3\right)\left(4x+3\right)
Reorder the terms.
5y\left(-4x+3\right)\left(4x+3\right)
Rewrite the complete factored expression.