1512:(72-y)=36

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: \[ \boxed{30} \]