Solve 1240=0.05(20000-y)+0.08y

$$1240=0.05(20000-y)+0.08y$$

Solve for y

$$y=8000$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.05 by 20000-y.

$$1240=1000-0.05y+0.08y$$

Combine -0.05y and 0.08y to get 0.03y.

$$1240=1000+0.03y$$

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

$$1000+0.03y=1240$$

Subtract 1000 from both sides.

$$0.03y=1240-1000$$

Subtract 1000 from 1240 to get 240.

$$0.03y=240$$

Divide both sides by 0.03.

$$y=\frac{240}{0.03}$$

Expand \frac{240}{0.03} by multiplying both numerator and the denominator by 100.

$$y=\frac{24000}{3}$$

Divide 24000 by 3 to get 8000.

$$y=8000$$