Question

Test 2 Simplify the given algebraic expression. 6(5y-7)-(5y+3)

Answer 1

To simplify the expression 6(5y-7)-(5y+3), multiply 6 by each term inside the parentheses, then subtract the result from the other expression.

Step-by-step explanation:

To simplify the given algebraic expression: 6(5y-7)-(5y+3), we follow the order of operations.

1. Multiply 6 by each term inside the parentheses: 6 * 5y = 30y and 6 * -7 = -42.
2. Subtract the result of step 1 from (5y+3): (5y+3) - (30y - 42)
3. Combine like terms: 5y - 30y = -25y and 3 - (-42) = 45.
4. Final simplified expression: -25y + 45.