Answer
$y = 0, \frac{7}{4}$
Work Step by Step
We factor the expression, and then we set each factor equal to zero to obtain:
$4y^{2} - 7y = 0$
$y(4y - 7) = 0$
First factor:
$y = 0$
Second factor:
$4y - 7 = 0$
$4y = 7$
$y = \frac{7}{4}$