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
