Solve (x-285-x*0.05)0.2=y

$$( x - 285 - x \times 0.05 ) 0.2 = y$$

Solve for x

$$x=\frac{100y}{19}+300$$

Steps for Solving Linear Equation

Combine x and -x\times 0.05 to get 0.95x.

$$\left(0.95x-285\right)\times 0.2=y$$

Use the distributive property to multiply 0.95x-285 by 0.2.

$$0.19x-57=y$$

Add 57 to both sides.

$$0.19x=y+57$$

Divide both sides of the equation by 0.19, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.19x}{0.19}=\frac{y+57}{0.19}$$

Dividing by 0.19 undoes the multiplication by 0.19.

$$x=\frac{y+57}{0.19}$$

Divide y+57 by 0.19 by multiplying y+57 by the reciprocal of 0.19.

$$x=\frac{100y}{19}+300$$

Solve for y

$$y=\frac{19x}{100}-57$$

Solution Steps

Combine x and -x\times 0.05 to get 0.95x.

$$\left(0.95x-285\right)\times 0.2=y$$

Use the distributive property to multiply 0.95x-285 by 0.2.

$$0.19x-57=y$$

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

$$y=0.19x-57$$