To solve the equation \( 150y + 350 = \frac{5600}{7} \), let's first simplify the right side of the equation.
Calculating \( \frac{5600}{7} \):
\[ \frac{5600}{7} = 800 \]
Now, substitute this back into the equation:
\[ 150y + 350 = 800 \]
Next, isolate \( y \) by subtracting 350 from both sides:
\[ 150y = 800 - 350 \]
\[ 150y = 450 \]
Now, divide both sides by 150:
\[ y = \frac{450}{150} \]
\[ y = 3 \]
So, the solution is \( y = 3 \).
