Solve 19674=18*729y-1/y-1

$$19674=18 \times \frac{ 729y-1 }{ y-1 }$$

Solve for y

$$y=3$$

Steps for Solving Linear Equation

Divide both sides by 18.

$$\frac{19674}{18}=\frac{729y-1}{y-1}$$

Divide 19674 by 18 to get 1093.

$$1093=\frac{729y-1}{y-1}$$

Variable y cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by y-1.

$$1093\left(y-1\right)=729y-1$$

Use the distributive property to multiply 1093 by y-1.

$$1093y-1093=729y-1$$

Subtract 729y from both sides.

$$1093y-1093-729y=-1$$

Combine 1093y and -729y to get 364y.

$$364y-1093=-1$$

Add 1093 to both sides.

$$364y=-1+1093$$

Add -1 and 1093 to get 1092.

$$364y=1092$$

Divide both sides by 364.

$$y=\frac{1092}{364}$$

Divide 1092 by 364 to get 3.

$$y=3$$