Question

Solve the equation. $$ 7 y=9 y-8 $$

Short answer

y = 4

Step-by-step solution

Simplify the equation

Combine like terms in the equation \(7y = 9y - 8\) by subtracting \(7y\) from both sides of the equation. This results in the equation \(0 = 2y - 8\).

Solve the simplified equation

Solve the equation \(0 = 2y - 8\) for y by adding 8 to both sides to isolate \(2y\) on one side of the equation. This results in the equation \(8 = 2y\). Divide each side of this equation by 2 to solve for y, resulting in \(y = 4\).