Question

Write an equivalent expression to

3y+4−6−2 by combining like terms.

A. −3y+2
B.−9y+6 C. −3y−2 D. 3y−2

Answer 1

The equivalent expression to combine like terms in 3y + 4 - 6 - 2 is 3y - 4, but this is not listed in the available options, suggesting an error in the question or the answers provided.

Step-by-step explanation:

To combine like terms in the expression 3y + 4 - 6 - 2, we identify terms that represent the same variable or constant. In this case, 3y is the only variable term and does not combine with any other term. The constant terms are 4, -6, and -2. Combining these constants gives us 4 - 6 - 2, which equals -4. Therefore, the original expression simplifies to 3y - 4.

Now we must select the correct equivalent expression. The correct answer is D. 3y - 2, however, based on the calculation, there was a mistake in the manual operation. The correct equivalent expression should be 3y - 4, which is not offered in the options provided. Thus, it seems there is an error in the question or the available answers, and none of the given options is correct given the arithmetic operation performed on the original expression.