Solve for y (6y-1)/y-3=2

$\frac{6 y - 1}{y} - 3 = 2$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$y, 1, 1$

The LCM of one and any expression is the expression.

$y$

Multiply each term in $\frac{6 y - 1}{y} - 3 = 2$ by $y$ to eliminate the fractions.

Multiply each term in $\frac{6 y - 1}{y} - 3 = 2$ by $y$ .

$\frac{6 y - 1}{y} y - 3 y = 2 y$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{6 y - 1}{y} y - 3 y = 2 y$

Rewrite the expression.

$6 y - 1 - 3 y = 2 y$

Subtract $3 y$ from $6 y$ .

$3 y - 1 = 2 y$

Solve the equation.

Move all terms containing $y$ to the left side of the equation.

Subtract $2 y$ from both sides of the equation.

$3 y - 1 - 2 y = 0$

Subtract $2 y$ from $3 y$ .

$y - 1 = 0$

Add $1$ to both sides of the equation.

$y = 1$