Solve.

Question

2+4y=y−7

Answer 1

To solve the equation 2 + 4y = y - 7, we need to isolate the variable y on one side of the equation.

First, let's simplify by combining like terms on both sides of the equation.

On the right side, we have y - 7, and on the left side, we have 2 + 4y.

Combining like terms on the left side, we can add the 2 and 4y to get 4y + 2.

Therefore, the equation becomes 4y + 2 = y - 7.

Next, let's isolate the variable y by subtracting y from both sides of the equation.

4y + 2 - y = y - y - 7

Simplifying both sides of the equation, we get:

3y + 2 = -7

Now, let's isolate the variable y further by subtracting 2 from both sides of the equation.

3y + 2 - 2 = -7 - 2

Simplifying both sides of the equation, we get:

3y = -9

Finally, let's solve for y by dividing both sides of the equation by 3.

3y/3 = -9/3

Simplifying both sides of the equation, we get:

y = -3

Therefore, the solution to the equation 2 + 4y = y - 7 is y = -3.