$$ \frac{2}{y-5}=\frac{6}{3 y-15}-4 $$ Solve for $$ y $$. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". $$ y=\square $$

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Solve the equation $$ \frac{2}{y-5}=\frac{6}{3y-15}-4 $$.
Solve the equation by following steps:
- step0: Solve for $$y$$:
  $$\frac{2}{y-5}=\frac{6}{3y-15}-4$$
- step1: Find the domain:
  $$\frac{2}{y-5}=\frac{6}{3y-15}-4,y
eq 5$$
- step2: Divide the terms:
  $$\frac{2}{y-5}=\frac{2}{y-5}-4$$
- step3: Multiply both sides of the equation by LCD:
  $$\frac{2}{y-5}	imes \left(y-5ight)=\left(\frac{2}{y-5}-4ight)\left(y-5ight)$$
- step4: Simplify the equation:
  $$2=22-4y$$
- step5: Swap the sides:
  $$22-4y=2$$
- step6: Move the constant to the right side:
  $$-4y=2-22$$
- step7: Subtract the numbers:
  $$-4y=-20$$
- step8: Change the signs:
  $$4y=20$$
- step9: Divide both sides:
  $$\frac{4y}{4}=\frac{20}{4}$$
- step10: Divide the numbers:
  $$y=5$$
- step11: Check if the solution is in the defined range:
  $$y=5,y
eq 5$$
- step12: Find the intersection:
  $$y \in \varnothing $$
The equation has no solution. Therefore, there is no value of $$ y $$ that satisfies the equation.
There is no solution.

Solve for .
If there is more than one solution, separate them with commas.
If there is no solution, click on “No solution”.

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Solve for . If there is more than one solution, separate them with commas. If there is no solution, click on “No solution”.