The problems displayed in the image involve solving simple linear equations. Let's verify each solution.

Problem 21:

Equation: $-2(7 - y) + 4 = -4$

1. Expand and simplify: $-14 + 2y + 4 = -4$ $2y - 10 = -4$

2. Solve for $y$: $2y = -4 + 10$ $2y = 6$ $y = \frac{6}{2} = 3$

Conclusion: The solution $y = -3$ provided in the image is incorrect. The correct solution is $y = 3$.

Problem 22:

Equation: $3(y - 1) + 8 = 11$

1. Expand and simplify: $3y - 3 + 8 = 11$ $3y + 5 = 11$

2. Solve for $y$: $3y = 11 - 5$ $3y = 6$ $y = \frac{6}{3} = 2$

Conclusion: The solution $y = 2$ provided in the image is correct.

Do you have any further questions on these solutions? Here are some related questions you might find interesting:

1. What steps would you take to solve an equation that involves fractions?
2. How do you check if a solution to an equation is correct?
3. Can you explain the properties of equality used in solving these equations?
4. What happens if you don't simplify the equation correctly?
5. How would adding a term to both sides of an equation affect its solution?

Tip: Always double-check your arithmetic and simplification steps when solving equations to avoid errors in your solution.