Question

Evaluate : 3y(2y - 7) - 3(y - 4) -
63 for y = -2

Answer 1

To evaluate the expression \( 3y(2y - 7) - 3(y - 4) - 63 \) for \( y = -2 \), we will follow these steps:

1. Substitute \( y = -2 \) into the expression.
2. Simplify the result step by step.

Start with the expression:

\[
3y(2y - 7) - 3(y - 4) - 63
\]

Substituting \( y = -2 \):

\[
3(-2)(2(-2) - 7) - 3(-2 - 4) - 63
\]

Now simplify inside the parentheses:

1. Calculate \( 2(-2) - 7 \):

\[
2(-2) = -4 \quad \text{so} \quad -4 - 7 = -11
\]

2. Calculate \( -2 - 4 \):

\[
-2 - 4 = -6
\]

Now substitute these results back into the expression:

\[
3(-2)(-11) - 3(-6) - 63
\]

Now calculate \( 3(-2)(-11) \):

\[
3(-2)(-11) = 6 \cdot 11 = 66
\]

Next, calculate \( -3(-6) \):

\[
-3(-6) = 18
\]

Now put everything together:

\[
66 + 18 - 63
\]

Simplify \( 66 + 18 = 84 \) and then:

\[
84 - 63 = 21
\]

Thus, the final answer is:

\[
\boxed{21}
\]