Question

Which expression is equivalent to (3y - 5x - 4) - (10 + 2x - 4y)?

-y - 3x - 14

-y - 3x + 6

7y - 7x - 14

7y + 7x - 14

Answer 1

To simplify the expression \((3y - 5x - 4) - (10 + 2x - 4y)\), we first distribute the negative sign across the second set of parentheses:

\[
3y - 5x - 4 - 10 - 2x + 4y
\]

Next, we combine like terms. Let's group the terms:

- For \(y\) terms: \(3y + 4y = 7y\)
- For \(x\) terms: \(-5x - 2x = -7x\)
- For constant terms: \(-4 - 10 = -14\)

Putting it all together, we have:

\[
7y - 7x - 14
\]

Therefore, the equivalent expression is:

\[
\boxed{7y - 7x - 14}
\]