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

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

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

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

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

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

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

Reorder the terms:
-1 + 5y = 3(2 + y)
-1 + 5y = (2 * 3 + y * 3)
-1 + 5y = (6 + 3y)

Solving
-1 + 5y = 6 + 3y

Solving for variable 'y'.

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

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

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

Combine like terms: 3y + -3y = 0
-1 + 2y = 6 + 0
-1 + 2y = 6

Add '1' to each side of the equation.
-1 + 1 + 2y = 6 + 1

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

Combine like terms: 6 + 1 = 7
2y = 7

Divide each side by '2'.
y = 3.5

Simplifying
y = 3.5