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

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

Solve for y

$$y=-3$$

Steps for Solving Linear Equation

Variable y cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by y+4.

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

Use the distributive property to multiply y+4 by 2.

$$6=4+2y+8$$

Add 4 and 8 to get 12.

$$6=12+2y$$

Swap sides so that all variable terms are on the left hand side.

$$12+2y=6$$

Subtract 12 from both sides.

$$2y=6-12$$

Subtract 12 from 6 to get -6.

$$2y=-6$$

Divide both sides by 2.

$$y=\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$y=-3$$