Final answer:
To solve the equation |y+1|=41, set up two separate equations, one with a positive value and one with a negative value. Solve each equation separately to find the values of y in simplest form: y = 40 and y = -42.
Step-by-step explanation:
To solve the equation |y+1|=41, we need to remove the absolute value bars. We can do this by setting up two separate equations, one with a positive value and one with a negative value:
y+1 = 41 or y+1 = -41
Solving each equation separately, we get:
y = 40 or y = -42
Therefore, the values of y in simplest form are y = 40 and y = -42.