Solve 0.2(y-6)=0.02y+3.2

$$0.2 ( y - 6 ) = 0.02 y + 3.2$$

Solve for y

$$y = \frac{220}{9} = 24\frac{4}{9} \approx 24.444444444$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.2 by y-6.

$$0.2y-1.2=0.02y+3.2$$

Subtract 0.02y from both sides.

$$0.2y-1.2-0.02y=3.2$$

Combine 0.2y and -0.02y to get 0.18y.

$$0.18y-1.2=3.2$$

Add 1.2 to both sides.

$$0.18y=3.2+1.2$$

Add 3.2 and 1.2 to get 4.4.

$$0.18y=4.4$$

Divide both sides by 0.18.

$$y=\frac{4.4}{0.18}$$

Expand \frac{4.4}{0.18} by multiplying both numerator and the denominator by 100.

$$y=\frac{440}{18}$$

Reduce the fraction \frac{440}{18} to lowest terms by extracting and canceling out 2.

$$y=\frac{220}{9}$$