3(y+1)+2=5(y-1)+5

Solution for 3(y+1)+2=5(y-1)+5 equation:

Simplifying
3(y + 1) + 2 = 5(y + -1) + 5

Reorder the terms:
3(1 + y) + 2 = 5(y + -1) + 5
(1 * 3 + y * 3) + 2 = 5(y + -1) + 5
(3 + 3y) + 2 = 5(y + -1) + 5

Reorder the terms:
3 + 2 + 3y = 5(y + -1) + 5

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

Reorder the terms:
5 + 3y = 5(-1 + y) + 5
5 + 3y = (-1 * 5 + y * 5) + 5
5 + 3y = (-5 + 5y) + 5

Reorder the terms:
5 + 3y = -5 + 5 + 5y

Combine like terms: -5 + 5 = 0
5 + 3y = 0 + 5y
5 + 3y = 5y

Solving
5 + 3y = 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.
5 + 3y + -5y = 5y + -5y

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

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

Add '-5' to each side of the equation.
5 + -5 + -2y = 0 + -5

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

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

Divide each side by '-2'.
y = 2.5

Simplifying
y = 2.5