Final answer:
The simplified expression is -2rty + 3x + 2y - 4. The given answer choices do not match the simplified result, indicating a possible typo in the options or the original expression.
Step-by-step explanation:
The question asks for simplifying the expression (-2rt y - 4) - (-3x-2y). To simplify, remove the parentheses and combine like terms:
- First, distribute the negative sign to the terms inside the second parenthesis: -(-3x) becomes +3x, and -(-2y) becomes +2y.
- We then get -2rty - 4 + 3x + 2y.
- As the terms in r, x, and y do not share the same variables, they cannot be combined. Thus, the expression remains -2rty + 3x + 2y - 4.
Looking at the given choices, none of them correctly represents the simplified expression derived, which means there may have been a typo in the provided options or in the original expression. Therefore, it's essential to ensure the correctness of the original expression before matching it to the answer choices.