Answer:
Step-by-step explanation:
66
We begin with -3(y-2)^(2/3) + 29 = -19, and want to find the value or values of y that satisfy this equation.
Begin by subtracting 29 from both sides. We obtain:
-3(y-2)^(2/3) + 29 - 29 = -19 - 29, or
-3(y-2)^(2/3) = -48
Next, we divide both sides by -3, obtaining:
(y-2)^(2/3) = 16
Raise both sides to the power 3/2, which removes the existing power 2/3:
y - 2 = 64.
Solving for y, we get y = 66.
