6y – 6 = 4y + 16

Question

(1 point)
Responses

y = 2.2
y = 2.2

y = –2.2
y = –2.2

y = 11
y = 11

y = 5

Answer 1

To solve the equation 6y - 6 = 4y + 16, we need to isolate the variable y on one side of the equation.

First, let's subtract 4y from both sides:

6y - 4y - 6 = 4y + 16 - 4y

Simplifying this equation gives us:

2y - 6 = 16

Next, let's add 6 to both sides:

2y - 6 + 6 = 16 + 6

Simplifying this equation gives us:

2y = 22

Finally, let's divide both sides by 2 to solve for y:

2y/2 = 22/2

Simplifying this equation gives us:

y = 11

Therefore, the solution is y = 11.