To solve the equation \( 1512:(72-y)=36 \), we first translate the division symbol correctly. The equation can be interpreted as:
\[ \frac{1512}{72 - y} = 36 \]
To eliminate the fraction, we can multiply both sides of the equation by \( 72 - y \):
\[ 1512 = 36(72 - y) \]
Next, distribute \( 36 \) on the right side:
\[ 1512 = 36 \cdot 72 - 36y \]
Calculating \( 36 \cdot 72 \):
\[ 36 \cdot 72 = 2592 \]
Now, substituting this value back into the equation gives us:
\[ 1512 = 2592 - 36y \]
Next, we can isolate \( 36y \) by rearranging the equation:
\[ 36y = 2592 - 1512 \]
Now, calculate \( 2592 - 1512 \):
\[ 2592 - 1512 = 1080 \]
Substituting back into the equation:
\[ 36y = 1080 \]
Now, divide both sides by \( 36 \) to solve for \( y \):
\[ y = \frac{1080}{36} \]
Calculating \( \frac{1080}{36} \):
\[ y = 30 \]
Thus, the solution to the equation is:
\[ \boxed{30} \]