Answer
No
Work Step by Step
$2xy+5y^2=4$
In this equation, $y$ is not a function of $x$ because for some input values, there are two possible output values. For example, consider $x=1$.
We get the following quadratic equation.
$5y^2+2y-4=0$
The possible values of $y$ are $\frac{-2\pm\sqrt{84}}{10}$
See image for graph of function. Notice it does not pass the vertical line test.