Solve 1/y+9-2=1/2(y+9)

$$\frac { 1 } { y + 9 } - 2 = \frac { 1 } { 2 ( y + 9 ) }$$

Solve for y

$$y = -\frac{35}{4} = -8\frac{3}{4} = -8.75$$

Steps for Solving Linear Equation

Variable y cannot be equal to -9 since division by zero is not defined. Multiply both sides of the equation by 2\left(y+9\right), the least common multiple of y+9,2\left(y+9\right).

$$2+2\left(y+9\right)\left(-2\right)=1$$

Multiply 2 and -2 to get -4.

$$2-4\left(y+9\right)=1$$

Use the distributive property to multiply -4 by y+9.

$$2-4y-36=1$$

Subtract 36 from 2 to get -34.

$$-34-4y=1$$

Add 34 to both sides.

$$-4y=1+34$$

Add 1 and 34 to get 35.

$$-4y=35$$

Divide both sides by -4.

$$y=\frac{35}{-4}$$

Fraction \frac{35}{-4} can be rewritten as -\frac{35}{4} by extracting the negative sign.

$$y=-\frac{35}{4}$$