Solve 30/y-3=240/5y-12

$$\frac { 30 } { y - 3 } = \frac { 240 } { 5 y - 12 }$$

Solve for y

$$y=4$$

Steps for Solving Linear Equation

Variable y cannot be equal to any of the values \frac{12}{5},3 since division by zero is not defined. Multiply both sides of the equation by \left(y-3\right)\left(5y-12\right), the least common multiple of y-3,5y-12.

$$\left(5y-12\right)\times 30=\left(y-3\right)\times 240$$

Use the distributive property to multiply 5y-12 by 30.

$$150y-360=\left(y-3\right)\times 240$$

Use the distributive property to multiply y-3 by 240.

$$150y-360=240y-720$$

Subtract 240y from both sides.

$$150y-360-240y=-720$$

Combine 150y and -240y to get -90y.

$$-90y-360=-720$$

Add 360 to both sides.

$$-90y=-720+360$$

Add -720 and 360 to get -360.

$$-90y=-360$$

Divide both sides by -90.

$$y=\frac{-360}{-90}$$

Divide -360 by -90 to get 4.

$$y=4$$