#### Answer

$y = 2\frac{1}{3}$ or $y =-2$

#### Work Step by Step

$3y^2-y-14 = 0$
Step 1:
is not needed because there is no fractions.
$3y^2-y-14 = 0$
Step 2:
is not needed.
$3y^2-y-14 = 0$
Step 3:
is not needed since no simplifying can be done on either side of the equation.
$3y^2-y-14 = 0$
Step 4:
The equation is quadratic.
$3y^2-y-14 = 0$
Step 5: Rewrite the equation in standard form.
$3y^2 -1y-14 = 0$
Step 6: Factor.
$(3y -7)(y +2) = 0$
Step 7: Set each factor equal to 0.
$3y -7 = 0$ or $y +2 = 0$
Solve each equation.
$3y = +7$ or $y =-2$
$y = +2\frac{1}{3}$ or $y =-2$