Solve 0.12(y-2)+0.10y=0.18y-0.05(10)

$$0.12 ( y - 2 ) + 0.10 y = 0.18 y - 0.05 ( 10 )$$

Solve for y

$$y=-6.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.12 by y-2.

$$0.12y-0.24+0.1y=0.18y-0.05\times 10$$

Combine 0.12y and 0.1y to get 0.22y.

$$0.22y-0.24=0.18y-0.05\times 10$$

Multiply 0.05 and 10 to get 0.5.

$$0.22y-0.24=0.18y-0.5$$

Subtract 0.18y from both sides.

$$0.22y-0.24-0.18y=-0.5$$

Combine 0.22y and -0.18y to get 0.04y.

$$0.04y-0.24=-0.5$$

Add 0.24 to both sides.

$$0.04y=-0.5+0.24$$

Add -0.5 and 0.24 to get -0.26.

$$0.04y=-0.26$$

Divide both sides by 0.04.

$$y=\frac{-0.26}{0.04}$$

Expand \frac{-0.26}{0.04} by multiplying both numerator and the denominator by 100.

$$y=\frac{-26}{4}$$

Reduce the fraction \frac{-26}{4} to lowest terms by extracting and canceling out 2.

$$y=-\frac{13}{2}$$