Question

Simplify the expression and combine like terms. -5(4y-6)+4(2y+5)

Answer 1

To simplify -5(4y-6)+4(2y+5), distribute the constants into their parentheses and then combine like terms to get the simplified expression -12y + 50.

Step-by-step explanation:

To simplify the expression and combine like terms for -5(4y-6)+4(2y+5), we need to distribute the numbers outside the parentheses and then combine like terms.

1. Distribute the -5 into the first set of parentheses: -5 * 4y = -20y and -5 * -6 = +30.
2. Distribute the 4 into the second set of parentheses: 4 * 2y = 8y and 4 * 5 = 20.
3. Combine like terms by adding the y terms and constant terms together: -20y + 8y = -12y and 30 + 20 = 50.
4. The simplified expression is -12y + 50.

After simplifying the algebra, we can check to see if the answer is reasonable by ensuring that all like terms have been combined and that there are no further simplifications possible.