Solve 0.12(y-8)+0.16y=0.18y-0.03(40)

$$0.12 ( y - 8 ) + 0.16 y = 0.18 y - 0.03 ( 40 )$$

Solve for y

$$y=-2.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.12 by y-8.

$$0.12y-0.96+0.16y=0.18y-0.03\times 40$$

Combine 0.12y and 0.16y to get 0.28y.

$$0.28y-0.96=0.18y-0.03\times 40$$

Multiply 0.03 and 40 to get 1.2.

$$0.28y-0.96=0.18y-1.2$$

Subtract 0.18y from both sides.

$$0.28y-0.96-0.18y=-1.2$$

Combine 0.28y and -0.18y to get 0.1y.

$$0.1y-0.96=-1.2$$

Add 0.96 to both sides.

$$0.1y=-1.2+0.96$$

Add -1.2 and 0.96 to get -0.24.

$$0.1y=-0.24$$

Divide both sides by 0.1.

$$y=\frac{-0.24}{0.1}$$

Expand \frac{-0.24}{0.1} by multiplying both numerator and the denominator by 100.

$$y=\frac{-24}{10}$$

Reduce the fraction \frac{-24}{10} to lowest terms by extracting and canceling out 2.

$$y=-\frac{12}{5}$$