Question

Simplify the expression:
5 + 2(4y - 1) - 5y
*
y + 5
13y - 6y
3y + 3
-3y +8

Answer 1

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Answer 2

To simplify the given expression, let's first break it down step-by-step:

We have:
\[
5 + 2(4y - 1) - 5y * (y + 5) + 13y - 6y + 3y + 3 - 3y + 8
\]

1. **Distribute** \(2(4y - 1)\):
\[
2(4y - 1) = 8y - 2
\]

So the expression now looks like:
\[
5 + (8y - 2) - 5y * (y + 5) + 13y - 6y + 3y + 3 - 3y + 8
\]

2. **Combine like terms**:
Combining constants:
\[
5 - 2 + 3 + 8 = 14
\]

For the \(y\) terms:
\[
(8y - 5y + 13y - 6y + 3y - 3y) = (8y - 5y + 13y - 6y + 3y - 3y) = 10y
\]

So now we have:
\[
14 + 10y - 5y * (y + 5)
\]

3. **Distributing** \(-5y * (y + 5)\):
\[
-5y^2 - 25y
\]

4. **Combine all terms**:
Substituting back into the expression, we get:
\[
14 + 10y - (5y^2 + 25y)
\]
This simplifies to:
\[
14 + 10y - 5y^2 - 25y
\]

5. **Combine like terms**:
Combining \(y\) terms:
\[
10y - 25y = -15y
\]

So we now have:
\[
14 - 5y^2 - 15y
\]

Thus, the simplified expression is:
\[
\boxed{-5y^2 - 15y + 14}
\]

Answer 3

Let’s go through the problem step by step again to ensure we simplify the expression correctly. The expression given is:

\[
5 + 2(4y - 1) - 5y \cdot (y + 5) + 13y - 6y + 3y + 3 - 3y + 8
\]

Let's simplify it step by step:

1. **Distributing** \(2(4y - 1)\):
\[
2(4y - 1) = 8y - 2
\]

Thus, the expression is now:
\[
5 + (8y - 2) - 5y \cdot (y + 5) + 13y - 6y + 3y + 3 - 3y + 8
\]

2. **Combining constants**:
The constants are \(5\), \(-2\), \(3\), \(8\):
\[
5 - 2 + 3 + 8 = 14
\]

3. **Combining \(y\) terms** without the product yet:
\[
8y - 5y + 13y - 6y + 3y - 3y = 10y
\]

So we rewrite the expression so far as:
\[
14 + 10y - 5y(y + 5)
\]

4. **Expanding** \(-5y(y + 5)\):
\[
-5y(y + 5) = -5y^2 - 25y
\]

5. **Putting everything together**:
Now we substitute that back into the expression:
\[
14 + 10y - 5y^2 - 25y
\]

6. **Combining the \(y\) terms**:
\[
10y - 25y = -15y
\]

So we end up with:
\[
14 - 5y^2 - 15y
\]

7. **Final rearrangement**:
Usually, we write it in standard polynomial form:
\[
-5y^2 - 15y + 14
\]

Therefore, the simplified expression is:
\[
\boxed{-5y^2 - 15y + 14}
\]

If this does not match your output, please provide the expression in another format to clarify!