To solve the equation \(1.7y + 37 + 10 = 9.3y - 25\), first combine like terms on both sides:
Combine the constants on the left side: \[ 1.7y + 47 = 9.3y - 25 \]
Next, isolate the \(y\) terms on one side. To do this, subtract \(1.7y\) from both sides: \[ 47 = 9.3y - 1.7y - 25 \]
Simplify the equation: \[ 47 = 7.6y - 25 \]
Now, add 25 to both sides to isolate the term with \(y\): \[ 47 + 25 = 7.6y \] \[ 72 = 7.6y \]
Finally, divide both sides by 7.6 to solve for \(y\): \[ y = \frac{72}{7.6} \]
Calculating \( \frac{72}{7.6} \): \[ y \approx 9.4737 \]
So, the solution is: \[ y \approx 9.47 \] (rounded to two decimal places).