Answer:The solution for y is y = 2x + 1 Step-by-step explanation:* Lets explain how to solve an equation for one of the variables- We need to solve the equation 16x + 9 = 9y - 2 x for y- That means we want to find y in terms of x and the numerical term- the equation has two sides, one side contains x and numerical term and the other side contains y and x- We need to separate y in one side, and other term in the other side * Lets do that∵ 16x + 9 = 9y - 2x- Add 2x to both sides to cancel -2x from the right side∴ 16x + 2x + 9 = 9y - 2x + 2x- Add like terms in each side∴ 18x + 9 = 9y - Divide each term by the coefficient of y ⇒ (÷9)∴ (18 ÷ 9)x + (9 ÷ 9) = (9 ÷ 9)y∴ 2x + 1 = y- Switch the two sides∴ y = 2x + 1* The solution for y is y = 2x + 1