This seems like a lot more work than it is, but here we go
Simplifying<span>8 + -2y = 3y + -2
Reorder the terms:
8 + -2y = -2 + 3y
Solving
8 + -2y = -2 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
8 + -2y + -3y = -2 + 3y + -3y
Combine like terms: -2y + -3y = -5y
8 + -5y = -2 + 3y + -3y
Combine like terms: 3y + -3y = 0
8 + -5y = -2 + 0
8 + -5y = -2
Add '-8' to each side of the equation.
8 + -8 + -5y = -2 + -8
Combine like terms: 8 + -8 = 0
0 + -5y = -2 + -8
-5y = -2 + -8
Combine like terms: -2 + -8 = -10
-5y = -10
Divide each side by '-5'.
y = 2
Simplifying
y = 2</span>
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So

The manager can select a team in 61425 ways.