How many solutions does the following

equation have?

7 (y + 3) = 5y + 8

answer:

One Solution

Explanation:

7 (y + 3) = 5y + 8

Simplify both sides of the equation

7 (y + 3) = 5y + 8

(7) (y) + (7) (3) = 5y + 8 (Distribute)

7y + 21 = 5y + 8

Subtract 5y from both sides

7y + 21 - 5y = 5y + 8 - 5y

2y + 21 = 8

Subtract 21 from both sides

2y + 21 - 21 = 8 - 21

2y = - 13

Divide both sides by 2

2y = - 13

2y / 2 = - 13 / 2

y = - 13 / 2

-13 / 2 = - 6.5

y = - 13 / 2 or - 6.5