Let's solve the equation $6 - (y + 4) = -2y + 6$.

Step-by-Step Solution:

1. Simplify the left-hand side: $6 - (y + 4) = 6 - y - 4$ $= 2 - y$

   Now the equation becomes: $2 - y = -2y + 6$

2. Isolate $y$: Add $2y$ to both sides: $2 - y + 2y = -2y + 2y + 6$ $2 + y = 6$

3. Simplify further: Subtract 2 from both sides: $y = 6 - 2$ $y = 4$

Final Answer:

$y = 4$

Let me know if you'd like a further breakdown or explanation.

Related Questions:

1. How do you solve multi-step equations involving parentheses?
2. What are the key properties of equality used to isolate variables?
3. How do negative signs affect equations with parentheses?
4. Can this equation be solved graphically? If so, how?
5. What are the steps to check if the solution $y = 4$ is correct?

Tip: Always simplify equations step-by-step, especially when dealing with parentheses, to avoid common mistakes.