please explain the steps to solve. thanks :)

5. (7 points) Solve the equation using algebraic methods: y +5 6 = 1+ y +8 y+16-7. Let a, b, and c be real numbers and f(x) = (*-a)"(x-b)" with n, m, and & nonnegative integers. (x-c)* 6. (4 points) Which of the following conditions will make f (x) have a horizontal asymptote of y =0? Circle the correct answer. (A) a=c with n = k (B) b=c with k n+m 7. (4 points) Which of the following conditions will make f (x) have a vertical asymptote of x = C? Circle the correct answer. (A) b =c with m =k (B) a =c with k >n+m (C) a =b with k <><>