$$ 1

Question

$$ 1<\begin{array}{l}	ext { Simplify the given algebraic expression. } \ 5(6 y-2)-(3 y+2) \ 5(6 y-2)-(3 y+2)=\square\end{array} $$

UpStudy AI · Accepted Answer

To simplify the algebraic expression:

$$
5(6y - 2) - (3y + 2)
$$

Follow these steps:

1. **Apply the Distributive Property**:
   
   Multiply each term inside the parentheses by the factor outside.

$$
   5 \times 6y - 5 \times 2 - 3y - 2
   $$

2. **Perform the Multiplications**:

$$
   30y - 10 - 3y - 2
   $$

3. **Combine Like Terms**:

- Combine the terms with $$ y $$:
     
     $$
     30y - 3y = 27y
     $$
   
   - Combine the constant terms:
     
     $$
     -10 - 2 = -12
     $$

4. **Write the Simplified Expression**:

$$
   27y - 12
   $$

Therefore, the simplified form of the given expression is:

$$
5(6y - 2) - (3y + 2) = 27y - 12
$$
The simplified expression is $$ 27y - 12 $$.

\( 1<\begin{array}{l}\text { Simplify the given algebraic expression. } \\ 5(6 y-2)-(3 y+2) \\ 5(6 y-2)-(3 y+2)=\square\end{array} \)

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