Solve 4/500+y1/2=6/y

$$\frac{ 4 }{ 500+y } \frac{ 1 }{ 2 } = \frac{ 6 }{ y }$$

Solve for y

$$y=-750$$

Steps for Solving Linear Equation

Variable y cannot be equal to any of the values -500,0 since division by zero is not defined. Multiply both sides of the equation by 2y\left(y+500\right), the least common multiple of 500+y,2,y.

$$2y\times 4\times \frac{1}{2}=\left(2y+1000\right)\times 6$$

Multiply 2 and 4 to get 8.

$$8y\times \frac{1}{2}=\left(2y+1000\right)\times 6$$

Multiply 8 and \frac{1}{2} to get 4.

$$4y=\left(2y+1000\right)\times 6$$

Use the distributive property to multiply 2y+1000 by 6.

$$4y=12y+6000$$

Subtract 12y from both sides.

$$4y-12y=6000$$

Combine 4y and -12y to get -8y.

$$-8y=6000$$

Divide both sides by -8.

$$y=\frac{6000}{-8}$$

Divide 6000 by -8 to get -750.

$$y=-750$$