Simplify the expression:

Question

5 + 2(4y - 1) - 5y
*
y + 5
13y - 6y
3y + 3
-3y +8

Answer 1

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 2

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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!