Question

3(2y + 3) = 6y + 9

Explanation:

Step1: Apply the distributive property

We use the distributive property \(a(b + c)=ab+ac\) to expand the left - hand side. Here, \(a = 3\), \(b=2y\) and \(c = 3\). So, \(3\times(2y)+3\times3=6y + 9\)

Step2: Simplify both sides

The left - hand side after expansion is \(6y+9\), and the right - hand side is also \(6y + 9\). If we subtract \(6y\) from both sides, we get \(6y+9-6y=6y + 9-6y\), which simplifies to \(9 = 9\)

Answer:

This is an identity, and it is true for all real values of \(y\).