Which expression has the same value as \( 5 x+(-4 y) \) ?

To simplify the expression \( 5x + (-4y) \), you can rewrite it as \( 5x - 4y \). This shows that you're combining the positive term \( 5x \) with the negative term \( -4y \), effectively changing the sign of \( 4y \) to subtraction. So, \( 5x - 4y \) is the expression that has the same value as \( 5x + (-4y) \). Another way to say it is that this is a straightforward application of basic algebra rules, where adding a negative number is the same as subtracting that number. In other words, it's like saying "I have 5 apples, but I owe you 4," which ultimately means you still have 5, but you've subtracted the 4 you owe.