Solve 35/8y+3y-25/3y=17

$$\frac { 35 } { 8 } y + 3 y - \frac { 25 } { 3 } y = 17$$

Solve for y

$$y = -\frac{408}{23} = -17\frac{17}{23} \approx -17.739130435$$

Steps for Solving Linear Equation

Combine \frac{35}{8}y and 3y to get \frac{59}{8}y.

$$\frac{59}{8}y-\frac{25}{3}y=17$$

Combine \frac{59}{8}y and -\frac{25}{3}y to get -\frac{23}{24}y.

$$-\frac{23}{24}y=17$$

Multiply both sides by -\frac{24}{23}, the reciprocal of -\frac{23}{24}.

$$y=17\left(-\frac{24}{23}\right)$$

Express 17\left(-\frac{24}{23}\right) as a single fraction.

$$y=\frac{17\left(-24\right)}{23}$$

Multiply 17 and -24 to get -408.

$$y=\frac{-408}{23}$$

Fraction \frac{-408}{23} can be rewritten as -\frac{408}{23} by extracting the negative sign.

$$y=-\frac{408}{23}$$