Problem 91

Question

Simplify each algebraic expression. $$5(3 y-2)-(7 y+2)$$

Step-by-Step Solution

Verified

Answer

The simplified form of the given algebraic expression is $8y - 12$.

1Step 1: Distribute Coefficients

Distribute the coefficient 5 to the terms inside the first parentheses: $5*3y$, giving us $15y$, and $5*-2$, giving us $-10$. Also, note that the second parentheses is preceded by a minus sign, which functions as a $-1$. We will distribute $-1$, giving us $-7y$ and $-2$. The expression becomes: $15y - 10 - 7y - 2$.

2Step 2: Combining Like Terms

We now combine the $y$ terms together and the constant terms together. This results in : $15y - 7y$ and $-10 - 2$. Which simplifies to: $8y - 12$.

3Step 3: Final Simplified Expression

The simplified expression is $8y - 12$.

Problem 91

Problem 92