Final answer:
To solve the linear equation 3y + 9 - 8y = -31 for y, you combine like terms, simplify, and isolate y to find that y = 8.
Step-by-step explanation:
The equation 3y + 9 - 8y = -31 is a linear equation, similar to those represented by y = mx + b, where m is the slope, and b is the y-intercept. To solve for y, we need to combine like terms and isolate y on one side of the equation:
- Combine 3y and -8y to get -5y.
- Subtract 9 from both sides to get -5y = -31 - 9.
- Simplify the right side to get -5y = -40.
- Divide both sides by -5 to solve for y, so y = 8.
The final answer is y = 8.