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\left(5-7y\right)\left(5+7y\right)
Rewrite 25-49y^{2} as 5^{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+5\right)\left(7y+5\right)
Reorder the terms.