Question

solve the equation and check. 8y + 4 = 5y - 5 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the solution is \boxed{} (simplify your answer.) b. the solution is all real numbers. c. there is no solution.

Explanation:

Step1: Subtract \(5y\) from both sides

To isolate the variable terms, we subtract \(5y\) from each side of the equation \(8y + 4 = 5y - 5\). This gives us \(8y - 5y + 4 = 5y - 5y - 5\), which simplifies to \(3y + 4 = -5\).

Step2: Subtract 4 from both sides

Next, we subtract 4 from both sides to isolate the term with \(y\). So, \(3y + 4 - 4 = -5 - 4\), which simplifies to \(3y = -9\).

Step3: Divide by 3

Finally, we divide both sides by 3 to solve for \(y\). \(\frac{3y}{3}=\frac{-9}{3}\), so \(y = -3\).

Answer:

A. The solution is \(-3\)