How many solutions does the following
equation have?
7(y + 3) = 5y + 8

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