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\left(7-4y\right)\left(7+4y\right)
Rewrite 49-16y^{2} as 7^{2}-\left(4y\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(-4y+7\right)\left(4y+7\right)
Reorder the terms.