Solve 3y/y+6=7y/y+6+4

$$\frac { 3 y } { y + 6 } = \frac { 7 y } { y + 6 } + 4$$

Solve for y

$$y=-3$$

Steps for Solving Linear Equation

Variable y cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by y+6.

$$3y=7y+\left(y+6\right)\times 4$$

Use the distributive property to multiply y+6 by 4.

$$3y=7y+4y+24$$

Combine 7y and 4y to get 11y.

$$3y=11y+24$$

Subtract 11y from both sides.

$$3y-11y=24$$

Combine 3y and -11y to get -8y.

$$-8y=24$$

Divide both sides by -8.

$$y=\frac{24}{-8}$$

Divide 24 by -8 to get -3.

$$y=-3$$