Solve and check the following equation. \[ 0.11 y+0.08(y+8000)=1970 \]

Step 1 ：Simplify the given equation 0.11y + 0.08(y + 8000) = 1970.

Step 2 ：Combine like terms to get 0.19y + 640 = 1970.

Step 3 ：Subtract 640 from both sides to isolate the term with y, resulting in 0.19y = 1330.

Step 4 ：Divide both sides by 0.19 to solve for y, yielding y = 7000.

Step 5 ：Check the solution by substituting y = 7000 back into the original equation.

Step 6 ：0.11(7000) + 0.08(7000 + 8000) = 1970, which simplifies to 1970 = 1970, confirming that the solution is correct.

Step 7 ：Final Answer: The solution to the equation is \(\boxed{7000}\).