Answer
{4, 6}
Work Step by Step
1. Factor and check by multiplying with FOIL:
(y - 6)(y - 4) = y(y) + y(-4) - 6(y) - 6(-4) = $y^{2}$ - 4y - 6y + 24 = $y^{2}$ - 10y + 24
2. Apply the zero factor property to the factored expression:
a) y - 6 = 0
b) y - 4 = 0
3. Solve each linear equation:
a) y = 6
b) y = 4
The solutions are {4, 6}.
