Answer:
The value of the provided equation for y is \(y=2x+1\).
Step-by-step explanation:
Consider the provided equation.
\(16x+9=9y-2x\)
We need to solve the equation for y.
Add 2x from both the sides.
\(16x+9+2x=9y-2x+2x\)
Add the like terms.
\(18x+9=9y\)
Divide both the sides by 9.
\(\frac{18x+9}{9}=\frac{9y}{9}\)
\(\frac{9(2x+1)}{9}=y\)
\(y=2x+1\)
Hence, the value of the provided equation for y is \(y=2x+1\).