What solution is 7 (y+3) = 5y+8

7 (y + 3) = 5y + 8

7. y + 7.3 = 5y + 8

7y + 21 = 5y + 8

7y - 5y = 8 - 21

2y = - 13

y = - 13/2

Answer: - 6.5

Step-by-step explanation:Simplifying

7 (y + 3) = 5y + 8

Reorder the terms:

7 (3 + y) = 5y + 8

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

(21 + 7y) = 5y + 8

Reorder the terms:

21 + 7y = 8 + 5y

Solving

21 + 7y = 8 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.

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

Combine like terms: 7y + - 5y = 2y

21 + 2y = 8 + 5y + - 5y

Combine like terms: 5y + - 5y = 0

21 + 2y = 8 + 0

21 + 2y = 8

Add '-21' to each side of the equation.

21 + - 21 + 2y = 8 + - 21

Combine like terms: 21 + - 21 = 0

0 + 2y = 8 + - 21

2y = 8 + - 21

Combine like terms: 8 + - 21 = - 13

2y = - 13

Divide each side by '2'.

y = - 6.5

Simplifying

y = - 6.5