Solve (14y+25)-(-17y+40)=-72

$$(14y+25)-(-17y+40)=-72$$

Solve for y

$$y = -\frac{57}{31} = -1\frac{26}{31} \approx -1.838709677$$

Steps for Solving Linear Equation

To find the opposite of -17y+40, find the opposite of each term.

$$14y+25-\left(-17y\right)-40=-72$$

The opposite of -17y is 17y.

$$14y+25+17y-40=-72$$

Combine 14y and 17y to get 31y.

$$31y+25-40=-72$$

Subtract 40 from 25 to get -15.

$$31y-15=-72$$

Add 15 to both sides.

$$31y=-72+15$$

Add -72 and 15 to get -57.

$$31y=-57$$

Divide both sides by 31.

$$y=\frac{-57}{31}$$

Fraction \frac{-57}{31} can be rewritten as -\frac{57}{31} by extracting the negative sign.

$$y=-\frac{57}{31}$$