Solve 240-y/14+240-y/10=15

$$\frac{ 240-y }{ 14 } + \frac{ 240-y }{ 10 } =15$$

Solve for y

$$y = \frac{305}{2} = 152\frac{1}{2} = 152.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 70, the least common multiple of 14,10.

$$5\left(240-y\right)+7\left(240-y\right)=1050$$

Use the distributive property to multiply 5 by 240-y.

$$1200-5y+7\left(240-y\right)=1050$$

Use the distributive property to multiply 7 by 240-y.

$$1200-5y+1680-7y=1050$$

Add 1200 and 1680 to get 2880.

$$2880-5y-7y=1050$$

Combine -5y and -7y to get -12y.

$$2880-12y=1050$$

Subtract 2880 from both sides.

$$-12y=1050-2880$$

Subtract 2880 from 1050 to get -1830.

$$-12y=-1830$$

Divide both sides by -12.

$$y=\frac{-1830}{-12}$$

Reduce the fraction \frac{-1830}{-12} to lowest terms by extracting and canceling out -6.

$$y=\frac{305}{2}$$