2(y+1)+3(y-1)=9

Solution for 2(y+1)+3(y-1)=9 equation:

Simplifying
2(y + 1) + 3(y + -1) = 9

Reorder the terms:
2(1 + y) + 3(y + -1) = 9
(1 * 2 + y * 2) + 3(y + -1) = 9
(2 + 2y) + 3(y + -1) = 9

Reorder the terms:
2 + 2y + 3(-1 + y) = 9
2 + 2y + (-1 * 3 + y * 3) = 9
2 + 2y + (-3 + 3y) = 9

Reorder the terms:
2 + -3 + 2y + 3y = 9

Combine like terms: 2 + -3 = -1
-1 + 2y + 3y = 9

Combine like terms: 2y + 3y = 5y
-1 + 5y = 9

Solving
-1 + 5y = 9

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 5y = 9 + 1

Combine like terms: -1 + 1 = 0
0 + 5y = 9 + 1
5y = 9 + 1

Combine like terms: 9 + 1 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2