The sum of a number and 2 is 6 less than twice that number

Step-by-step explanation:

The first thing we have to do before we can actually do the problem is turn the words into a math equation.

If we use x as our "number," we see that "The sum of a number and 2" can also be written as x+2. The word "Is" almost always means (=), so now we have (x+2) = . The very last part, "6 less than twice that number," means 2x - 6.

So, our whole equation is, (x + 2) = (2x - 6), which simplifies to -x = -8, or

x = 8

y = 8

Step-by-step explanation:

number = y

y + 2 = 2y - 6

y + 2 - 2 = 2y - 6 - 2

y = 2y - 8

y - 2y = 2y - 2y - 8

- y = - 8

- y × - 1 = - 8 × - 1

y = 8