Questions: 2y-(4)^2y-11

Transcript text: $2 y-(4)^{2} y-11$

Solution

Solution Steps

Step 1: Evaluate the Exponentiation

We start with the expression $2y - (4)^2 y - 11$. First, we evaluate the exponentiation: $(4)^2 = 16$.

Step 2: Combine Like Terms

Next, we rewrite the expression using the evaluated exponent: \[ 2y - 16y - 11 \] Now, we combine the like terms involving $y$: \[ (2 - 16)y - 11 = -14y - 11 \]

Step 3: Simplify the Expression

The simplified expression is: \[ -14y - 11 \] For a specific value of $y$, such as $y = 1$, we can substitute to find the numerical result: \[ -14(1) - 11 = -14 - 11 = -25 \]

Final Answer

Thus, the simplified expression evaluated at $y = 1$ gives us: $\boxed{-25}$

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