Differentiate each function by applying the basic rules of differentiation
`(2y-1)(4y^(2)+7)`

Explanation

To differentiate the function \( z = (2y - 1)(4y^2 + 7) \), we will apply the product rule of differentiation. The product rule states that if you have two functions \( u \) and \( v \), then the derivative of their product is given by:

\[ \frac{dz}{dy} = u \frac{dv}{dy} + v \frac{du}{dy} \]

### Step 1: Identify \( u \) and \( v \)
Let:
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