Solve 1/6y-2/7=y/3

$$\frac { 1 } { 6 } y - \frac { 2 } { 7 } = \frac { y } { 3 }$$

Solve for y

$$y = -\frac{12}{7} = -1\frac{5}{7} \approx -1.714285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 6,7,3.

$$7y-12=14y$$

Subtract 14y from both sides.

$$7y-12-14y=0$$

Combine 7y and -14y to get -7y.

$$-7y-12=0$$

Add 12 to both sides. Anything plus zero gives itself.

$$-7y=12$$

Divide both sides by -7.

$$y=\frac{12}{-7}$$

Fraction \frac{12}{-7} can be rewritten as -\frac{12}{7} by extracting the negative sign.

$$y=-\frac{12}{7}$$