Simplify 6y - 1 + 2y.

• A. 8y - 1
• B. 8y + 1
• C. 4y - 1
• D. 6y - 2

Answer: (A)

To simplify the expression 6y - 1 + 2y, you need to combine the like terms effectively. The like terms in this expression are the terms that contain the variable y, which are 6y and 2y.

First, add the coefficients of the like terms:

6y (from the first term) + 2y (from the third term) equals 8y.

Next, the term -1 does not have any like terms to combine with it, so it remains unchanged.

Thus, when you combine these results, you get:

8y (from adding 6y and 2y) - 1 (which is alone).

This gives you the simplified expression: 8y - 1.

Therefore, the correct choice is the one that reflects this simplified expression.