The given expression is:

$-8x + 10y$

We need to identify which expression has the same value.

1. $-8x - (-10y)$ simplifies to $-8x + 10y$, which matches the given expression.

2. $8x + 10y$ does not match, as it changes the sign of $x$.

3. $10y - (-8x)$ simplifies to $10y + 8x$, which is equivalent but in reversed order and does not match.

4. $10y + 8x$ is rearranged but not the same order as the original.

Correct answer: $-8x - (-10y)$.

Would you like further clarification or detailed steps?

Related Questions:

1. How do you simplify expressions involving negative signs?
2. What are equivalent expressions, and how are they verified?
3. How can you identify errors in algebraic transformations?
4. What role does commutativity play in rearranging algebraic terms?
5. Why is it important to check for signs carefully in algebra?

Tip:

Always double-check the signs of terms during simplification to avoid common errors in algebra.