Solve 0.05(y-300)=105-0.1y

$$0.05 ( y - 300 ) = 105 - 0.1 y$$

Solve for y

$$y=800$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.05 by y-300.

$$0.05y-15=105-0.1y$$

Add 0.1y to both sides.

$$0.05y-15+0.1y=105$$

Combine 0.05y and 0.1y to get 0.15y.

$$0.15y-15=105$$

Add 15 to both sides.

$$0.15y=105+15$$

Add 105 and 15 to get 120.

$$0.15y=120$$

Divide both sides by 0.15.

$$y=\frac{120}{0.15}$$

Expand \frac{120}{0.15} by multiplying both numerator and the denominator by 100.

$$y=\frac{12000}{15}$$

Divide 12000 by 15 to get 800.

$$y=800$$