Problem 92

Question

Simplify each algebraic expression. $$4(5 y-3)-(6 y+3)$$

Step-by-Step Solution

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Answer

The simplified expression is $14y - 15$.

1Step 1: Apply the Distributive Property

Firstly, apply the distributive property on the first term, which results in $4 \times 5y$ and $4 \times -3$. This results in $20y - 12$. Therefore, the expression becomes $20y - 12 -(6y + 3)$.

2Step 2: Distribute the Negative Sign

Next, distribute the negative sign across the $6y$ and $3$ in the second set of parentheses. This changes the sign of each term within the parentheses, resulting in $-6y - 3$. The expression now becomes $20y - 12 - 6y - 3$.

3Step 3: Combine Like Terms

Finally, combine the terms $20y$ and $-6y$ to get $14y$, and combine the terms $-12$ and $-3$ to get $-15$. Thus, the fully simplified expression is $14y - 15$.

Problem 92

Problem 93

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Problem 92

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Problem 92

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Problem 93

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Problem 93

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