3(y+2)=(y+5)

Solution for 3(y+2)=(y+5) equation:

Simplifying
3(y + 2) = (y + 5)

Reorder the terms:
3(2 + y) = (y + 5)
(2 * 3 + y * 3) = (y + 5)
(6 + 3y) = (y + 5)

Reorder the terms:
6 + 3y = (5 + y)

Remove parenthesis around (5 + y)
6 + 3y = 5 + y

Solving
6 + 3y = 5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
6 + 3y + -1y = 5 + y + -1y

Combine like terms: 3y + -1y = 2y
6 + 2y = 5 + y + -1y

Combine like terms: y + -1y = 0
6 + 2y = 5 + 0
6 + 2y = 5

Add '-6' to each side of the equation.
6 + -6 + 2y = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 2y = 5 + -6
2y = 5 + -6

Combine like terms: 5 + -6 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5