Final answer:
After distributing -1/5 to 35y and 25, and then subtracting 7, the expression simplifies to -7y - 12. However, since none of the given options match, there is likely an error in the provided options. The closest option to the correct answer is A. -7y - 5, but it does not include subtracting the additional 7.
Step-by-step explanation:
The expression equivalent to -1/5(35y + 25) - 7 can be found by distributing the -1/5 across the terms inside the parentheses and then subtracting 7. First, multiply -1/5 by 35y,
which gives -7y. Then multiply -1/5 by 25, which results in -5. Finally, combine the result with -7 to get the simplified expression:
-7y - 5 - 7.
To finish, combine the constants -5 and -7 to get -12, so the entire expression simplifies to -7y - 12. However, none of the given options matches this result, so it's likely that there was a mistake in the transmission of this problem, or there is a missing option that should have been -7y - 12.
If we had to choose from the given options, the closest would be A. -7y - 5, but it’s important to note that this does not account for the extra subtraction of 7.