To solve the equation \( 150y + 350 = \frac{5600}{7} \), follow these steps:
First, simplify the right side of the equation: \[ \frac{5600}{7} = 800 \] So, the equation becomes: \[ 150y + 350 = 800 \]
Next, isolate \( 150y \) by subtracting \( 350 \) from both sides: \[ 150y = 800 - 350 \] \[ 150y = 450 \]
Now, divide by \( 150 \) to solve for \( y \): \[ y = \frac{450}{150} \] \[ y = 3 \]
So the solution is \( y = 3 \).