Question

The simplified expression by combining like terms is
7y2+3y−4y2+4y−4​; y equals 2y=2

Answer 1

To simplify the expression \( 7y^2 + 3y - 4y^2 + 4y - 4 \), let's combine like terms.

1. Combine the \( y^2 \) terms:
\[
7y^2 - 4y^2 = 3y^2
\]

2. Combine the \( y \) terms:
\[
3y + 4y = 7y
\]

3. The constant term remains the same:
\[
-4
\]

Putting it all together, we get:
\[
3y^2 + 7y - 4
\]

Now, if we substitute \( y = 2 \) into the simplified expression:
\[
3(2)^2 + 7(2) - 4
\]

Calculating each term:
1. \( 3(2^2) = 3 \cdot 4 = 12 \)
2. \( 7(2) = 14 \)

Now, substitute these values into the expression:
\[
12 + 14 - 4
\]
Calculating it gives:
\[
12 + 14 = 26 \quad \text{and} \quad 26 - 4 = 22
\]

Thus, when \( y = 2 \), the value of the simplified expression \( 3y^2 + 7y - 4 \) is **22**.