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4y^{2}-\frac{4}{3}y+\frac{1}{9}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2y-\frac{1}{3}\right)^{2}.
4y^{2}-\frac{4}{3}y+\frac{1}{9}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2y-\frac{1}{3}\right)^{2}.