\[2y\sqrt[4]{x} = \sqrt[4]{2} \cdot \left( - ( - y) \right)\sqrt[4]{x} =\]
\[= - \sqrt[4]{( - y)^{4}} \cdot \sqrt[4]{2^{4}x} =\]
\[= - \sqrt[4]{( - y)^{4} \cdot 16x} =\]
\[= - \sqrt[4]{16xy^{4}}\]