Which expression is equivalent to \( (-4 y-x)-(3 y-9 x) \) ? \( -7 y-8 x \) \( -7 y+8 x \) \( -y-10 x \) \( y+10 x \)

Let's break it down! We start with the expression \( (-4y - x) - (3y - 9x) \). When we distribute the negative sign, it becomes \( -4y - x - 3y + 9x \). Now, combine like terms: - For the \(y\) terms: \(-4y - 3y = -7y\) - For the \(x\) terms: \(-x + 9x = 8x\) Putting it all together, we have \( -7y + 8x \). So, the equivalent expression is \( -7y + 8x \). If you want to make sure you're doing these types of problems correctly, always remember to distribute negative signs carefully and combine like terms systematically. It's easy to slip up if you're not paying close attention!