Question

How do you solve 2(4-y)-3(y+3)=-11

Answer 1

To solve the equation 2(4-y)-3(y+3)=-11, distribute the numbers outside the parentheses, combine like terms, and isolate then solve for y. The solution is y = 2.

Step-by-step explanation:

To solve the equation 2(4-y)-3(y+3)=-11, follow these steps:

1. Distribute the numbers outside the parentheses: 8 - 2y - 3y - 9 = -11.
2. Combine like terms: 8 - 9 - 2y - 3y = -11 becomes -1 - 5y = -11.
3. Add 1 to both sides of the equation to isolate the term containing y: -5y = -10.
4. Divide both sides by -5 to solve for y: y = 2.

The solution to the equation is y = 2.