Question

5 + 2(y + 4)\
7y + 28\
yes\
no

Explanation:

Step1: Expand the first expression

Using the distributive property \(a(b + c)=ab+ac\), we expand \(2(y + 4)\) as \(2\times y+2\times4 = 2y + 8\). Then the first expression \(5 + 2(y + 4)\) becomes \(5+2y + 8\).

Step2: Simplify the expanded expression

Combine like terms: \(5 + 8+2y=13 + 2y\).

Step3: Compare with the second expression

The second expression is \(7y + 28\). Since \(13 + 2y\) is not equal to \(7y + 28\) (the coefficients of \(y\) and the constant terms are different), the two expressions are not equal.

Answer:

No