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

Question

-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:

$$\boxed{{\displaystyle 7y-7x-14}}$$