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

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

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

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

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

Reorder the terms:
-3 + 2 + 3y + 2y = 2y + 5

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

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

Reorder the terms:
-1 + 5y = 5 + 2y

Solving
-1 + 5y = 5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-1 + 5y + -2y = 5 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
-1 + 3y = 5 + 0
-1 + 3y = 5

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

Combine like terms: -1 + 1 = 0
0 + 3y = 5 + 1
3y = 5 + 1

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

Divide each side by '3'.
y = 2

Simplifying
y = 2