Simplify 10y - 2 + 5y.

Simplify 10y - 2 + 5y.

• A. 15y - 2
• B. 15y + 2
• C. 5y - 2
• D. 10y + 5

Answer: (A)

To simplify the expression \(10y - 2 + 5y\), we start by identifying the like terms in the expression. The terms \(10y\) and \(5y\) are both coefficients of \(y\) and can be combined. First, we combine \(10y\) and \(5y\): \[ 10y + 5y = 15y \] Next, we notice that there is also a constant term, \(-2\), in the expression that does not have a variable associated with it. Since there are no other constant terms to combine with \(-2\), it remains as is. Putting it all together, we combine the results: \[ 15y - 2 \] This gives us the simplified expression \(15y - 2\). Therefore, the correct answer is the expression that reflects this simplification.

To simplify the expression (10y - 2 + 5y), we start by identifying the like terms in the expression. The terms (10y) and (5y) are both coefficients of (y) and can be combined.

First, we combine (10y) and (5y):

[

10y + 5y = 15y

]

Next, we notice that there is also a constant term, (-2), in the expression that does not have a variable associated with it. Since there are no other constant terms to combine with (-2), it remains as is.

Putting it all together, we combine the results:

[

15y - 2

]

This gives us the simplified expression (15y - 2). Therefore, the correct answer is the expression that reflects this simplification.