Solve 2+y+17/5-8y-7/4=0

$$2 + \frac { y + 17 } { 5 } - \frac { 8 y - 7 } { 4 } = 0$$

Solve for y

$$y = \frac{143}{36} = 3\frac{35}{36} \approx 3.972222222$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$40+4\left(y+17\right)-5\left(8y-7\right)=0$$

Use the distributive property to multiply 4 by y+17.

$$40+4y+68-5\left(8y-7\right)=0$$

Add 40 and 68 to get 108.

$$108+4y-5\left(8y-7\right)=0$$

Use the distributive property to multiply -5 by 8y-7.

$$108+4y-40y+35=0$$

Combine 4y and -40y to get -36y.

$$108-36y+35=0$$

Add 108 and 35 to get 143.

$$143-36y=0$$

Subtract 143 from both sides. Anything subtracted from zero gives its negation.

$$-36y=-143$$

Divide both sides by -36.

$$y=\frac{-143}{-36}$$

Fraction \frac{-143}{-36} can be simplified to \frac{143}{36} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{143}{36}$$