Solve 30/72(60-165)=60y

$$\frac { 30 } { 72 } ( 60 - 165 ) = 60 y$$

Solve for y

$$y=-\frac{35}{48}\approx -0.729166667$$

Steps for Solving Linear Equation

Reduce the fraction \frac{30}{72} to lowest terms by extracting and canceling out 6.

$$\frac{5}{12}\left(60-165\right)=60y$$

Subtract 165 from 60 to get -105.

$$\frac{5}{12}\left(-105\right)=60y$$

Express \frac{5}{12}\left(-105\right) as a single fraction.

$$\frac{5\left(-105\right)}{12}=60y$$

Multiply 5 and -105 to get -525.

$$\frac{-525}{12}=60y$$

Reduce the fraction \frac{-525}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{175}{4}=60y$$

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

$$60y=-\frac{175}{4}$$

Divide both sides by 60.

$$y=\frac{-\frac{175}{4}}{60}$$

Express \frac{-\frac{175}{4}}{60} as a single fraction.

$$y=\frac{-175}{4\times 60}$$

Multiply 4 and 60 to get 240.

$$y=\frac{-175}{240}$$

Reduce the fraction \frac{-175}{240} to lowest terms by extracting and canceling out 5.

$$y=-\frac{35}{48}$$