Solve 7/6y-5/y=1

$$\frac{ 7 }{ 6y } - \frac{ 5 }{ y } =1$$

Solve for y

$$y = -\frac{23}{6} = -3\frac{5}{6} \approx -3.833333333$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6y, the least common multiple of 6y,y.

$$7-6\times 5=6y$$

Multiply -6 and 5 to get -30.

$$7-30=6y$$

Subtract 30 from 7 to get -23.

$$-23=6y$$

Swap sides so that all variable terms are on the left hand side.

$$6y=-23$$

Divide both sides by 6.

$$y=\frac{-23}{6}$$

Fraction \frac{-23}{6} can be rewritten as -\frac{23}{6} by extracting the negative sign.

$$y=-\frac{23}{6}$$