To simplify the expression \((2x + 2y - 10) - (8y - 5y + 20)\), let's first simplify the expression inside the parentheses:
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Combine the terms in the second parentheses: \[ 8y - 5y = 3y \] So, the expression becomes: \[ (2x + 2y - 10) - (3y + 20) \]
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Next, distribute the negative sign: \[ 2x + 2y - 10 - 3y - 20 \]
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Now, combine like terms:
- Combine the \(y\) terms: \[ 2y - 3y = -y \]
- Combine the constant terms: \[ -10 - 20 = -30 \]
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Putting it all together: \[ 2x - y - 30 \]
Now, we can rewrite \(-y\) as \( -1y\) for clarity: \[ 2x - 1y - 30 \]
Now, the result in standard form is: \[ 2x - y - 30 \]
This does not directly match any of the options given (a, b, or c). It looks like we need to reorganize to see if we can express it in one of the forms:
Let's try to organize it like \(-6x + 7y + a\) or similar:
Since none of the pairs directly match and ignoring that we might have used wrong algebra simplified result if it does none offers improvement to correct problem. I apologize, but it seems that our answer is correct as \(2x - y - 30\).
None of the answer choices provided match this simplified expression. Please check if the original problem or the answer choices were stated correctly.