To solve the equation \( 630 : (30 - y) - 45 = 25 \), let's follow these steps:
First, isolate the fraction term: \[ 630 : (30 - y) = 25 + 45 \] \[ 630 : (30 - y) = 70 \]
Now, rewrite the division as multiplication: \[ \frac{630}{30 - y} = 70 \]
Cross-multiply to eliminate the fraction: \[ 630 = 70(30 - y) \]
Distribute the 70: \[ 630 = 2100 - 70y \]
Now, isolate the term involving \( y \): \[ 70y = 2100 - 630 \] \[ 70y = 1470 \]
Finally, solve for \( y \): \[ y = \frac{1470}{70} = 21 \]
So, the value of \( y \) is \( 21 \).