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\left(9-7y\right)\left(9+7y\right)
Rewrite 81-49y^{2} as 9^{2}-\left(7y\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(-7y+9\right)\left(7y+9\right)
Reorder the terms.