Solve 7-(3.1-0.1y)=3-0.2y

$$7 - ( 3.1 - 0.1 y ) = 3 - 0.2 y$$

Solve for y

$$y=-3$$

Steps for Solving Linear Equation

To find the opposite of 3.1-0.1y, find the opposite of each term.

$$7-3.1-\left(-0.1y\right)=3-0.2y$$

The opposite of -0.1y is 0.1y.

$$7-3.1+0.1y=3-0.2y$$

Subtract 3.1 from 7 to get 3.9.

$$3.9+0.1y=3-0.2y$$

Add 0.2y to both sides.

$$3.9+0.1y+0.2y=3$$

Combine 0.1y and 0.2y to get 0.3y.

$$3.9+0.3y=3$$

Subtract 3.9 from both sides.

$$0.3y=3-3.9$$

Subtract 3.9 from 3 to get -0.9.

$$0.3y=-0.9$$

Divide both sides by 0.3.

$$y=\frac{-0.9}{0.3}$$

Expand \frac{-0.9}{0.3} by multiplying both numerator and the denominator by 10.

$$y=\frac{-9}{3}$$

Divide -9 by 3 to get -3.

$$y=-3$$