To solve the equation \( 41y + 144 - 49 + 4y = 6 \cdot 25 + 80 \), we can start by simplifying both sides.
Simplify both sides:
- Left-hand side: \[ 41y + 4y + 144 - 49 = (41y + 4y) + (144 - 49) = 45y + 95 \]
- Right-hand side: \[ 6 \cdot 25 + 80 = 150 + 80 = 230 \]
Rewrite the equation: \[ 45y + 95 = 230 \]
Isolate the variable: Subtract 95 from both sides: \[ 45y = 230 - 95 \] \[ 45y = 135 \]
Solve for \( y \): Divide both sides by 45: \[ y = \frac{135}{45} = 3 \]
The solution is: \[ \boxed{3} \]
