Answer:
[tex] = y_{1} = - 1 \: . \: \: y_{2} = 2[/tex]
Step-by-step explanation:
[tex] {y}^{2} - y - 5 = - 3 \\ {y}^{2} - y - 5 + 3 = 0 \\ {y}^{2} + y - 2y - 2 = 0 \\ y(y + 1) - 2(y + 1) = 0 \\ (y + 1)(y - 2) = 0 \\ y + 1 = 0 \\ y - 2 = 0 \\ y = - 1 \\ y = 2[/tex]
[tex] \boxed{\green{= y_{1} = - 1 \: . \: \: y_{2} = 2}}[/tex]