To solve the equation \( 1836 = (26 - 4y) \cdot 102 \), let's follow these steps:
Start by dividing both sides of the equation by 102: \[ \frac{1836}{102} = 26 - 4y \]
Calculate \( \frac{1836}{102} \): \[ 1836 \div 102 = 18 \] So now the equation simplifies to: \[ 18 = 26 - 4y \]
Next, isolate \( y \) by moving 26 to the other side: \[ 18 - 26 = -4y \] \[ -8 = -4y \]
To solve for \( y \), divide both sides by -4: \[ y = \frac{-8}{-4} = 2 \]
Thus, the value of \( y \) is \( 2 \).