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

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

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

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

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

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

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

Reorder the terms:
1 + -5y = 9(-1 + y) + 3
1 + -5y = (-1 * 9 + y * 9) + 3
1 + -5y = (-9 + 9y) + 3

Reorder the terms:
1 + -5y = -9 + 3 + 9y

Combine like terms: -9 + 3 = -6
1 + -5y = -6 + 9y

Solving
1 + -5y = -6 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
1 + -5y + -9y = -6 + 9y + -9y

Combine like terms: -5y + -9y = -14y
1 + -14y = -6 + 9y + -9y

Combine like terms: 9y + -9y = 0
1 + -14y = -6 + 0
1 + -14y = -6

Add '-1' to each side of the equation.
1 + -1 + -14y = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -14y = -6 + -1
-14y = -6 + -1

Combine like terms: -6 + -1 = -7
-14y = -7

Divide each side by '-14'.
y = 0.5

Simplifying
y = 0.5