To find the value of y , we need to isolate y in the given equation 2y - 4x + 10 = 0 .
Step 1: Add 4x to both sides of the equation:
2y - 4x + 10 + 4x = 0 + 4x
2y + 10 = 4x
Step 2: Subtract 10 from both sides of the equation:
2y + 10 - 10 = 4x - 10
2y = 4x - 10
Step 3: Divide by 2 to isolate y :
\frac{2y}{2} = \frac{4x}{2} - \frac{10}{2}
y = 2x - 5
\boxed{y = 2x - 5}