Why are there two solutions for the equation 16 + yl = 2?
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see explanation

Step-by-step explanation:

The absolute value function always gives a positive result, however, the expression inside can be positive or negative.

The absolute value is a measure of the value from the origin and

| 2 | = | - 2 | = 2

Since 2 and - 2 are both 2 units from the origin.

Solving the given question

| 6 + y | = 2 , then

6 + y = 2 or - (6 + y) = 2

6 + y = 2 ( subtract 6 from both sides )

y = - 4

or

- (6 + y) = 2

- 6 - y = 2 ( add 6 to both sides )

- y = 8 ( multiply both sides by - 1 )

y = - 8

As a check

| 6 - 4 | = | 2 | = 2

| 6 - 8 | = | - 2 | = 2

Thus y = - 4 or y = - 8 are both solutions to the equation