If 5y + 2 = 8/3, what is the value of 5y - 6?

5y - 6 = (-16)/3

Step-by-step explanation:

1. Step:

Solve for y:

5 y + 2 = 8/3

Subtract 2 from both sides:

5 y + (2 - 2) = 8/3 - 2

2 - 2 = 0:

5 y = 8/3 - 2

Put 8/3 - 2 over the common denominator 3. 8/3 - 2 = 8/3 + (3 (-2))/3:

5 y = 8/3 - (2×3)/3

3 (-2) = -6:

5 y = 8/3 + (-6)/3

8/3 - 6/3 = (8 - 6)/3:

5 y = (8 - 6)/3

8 - 6 = 2:

5 y = 2/3

Divide both sides by 5:

y = (2/5)/3

3×5 = 15:

 y = 2/15

2. Step.

Evaluate 5 y - 6 where y = 2/15:

5 y - 6 = 5×2/15 - 6

5×2/15 = (5×2)/15:

(5×2)/15 - 6

5/15 = 5/(5×3) = 1/3:

2/3 - 6

Put 2/3 - 6 over the common denominator 3. 2/3 - 6 = 2/3 + (3 (-6))/3:

2/3 - (6×3)/3

3 (-6) = -18:

2/3 + (-18)/3

2/3 - 18/3 = (2 - 18)/3:

(2 - 18)/3

2 - 18 = -(18 - 2):

(-(18 - 2))/3

| 1 | 8

- | | 2

| 1 | 6:

 (-16)/3

answer: the correct answer is -32

step-by-step explanation:

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step-by-step explanation: