Answer
$5y\sqrt[3]{{y}^{2}}$
Work Step by Step
Step 1: $ \sqrt[3]{8{y}^{5}} +\sqrt[3]{27{y}^{5}}$
Step 2: $ \sqrt[3]{8{y}^{3}}\times \sqrt[3]{{y}^{2}} +\sqrt[3]{27{y}^{3}}\times \sqrt[3]{{y}^{2}}$
Step 3: $ 2y\sqrt[3]{{y}^{2}} +3y\sqrt[3]{{y}^{2}}$
Step 4: $5y\sqrt[3]{{y}^{2}}$