Solve 0.02(y-1)+0.20y=0.12y-0.9

$$0.02 ( y - 1 ) + 0.20 y = 0.12 y - 0.9$$

Solve for y

$$y=-8.8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.02 by y-1.

$$0.02y-0.02+0.2y=0.12y-0.9$$

Combine 0.02y and 0.2y to get 0.22y.

$$0.22y-0.02=0.12y-0.9$$

Subtract 0.12y from both sides.

$$0.22y-0.02-0.12y=-0.9$$

Combine 0.22y and -0.12y to get 0.1y.

$$0.1y-0.02=-0.9$$

Add 0.02 to both sides.

$$0.1y=-0.9+0.02$$

Add -0.9 and 0.02 to get -0.88.

$$0.1y=-0.88$$

Divide both sides by 0.1.

$$y=\frac{-0.88}{0.1}$$

Expand \frac{-0.88}{0.1} by multiplying both numerator and the denominator by 100.

$$y=\frac{-88}{10}$$

Reduce the fraction \frac{-88}{10} to lowest terms by extracting and canceling out 2.

$$y=-\frac{44}{5}$$