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

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

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

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

Remove parenthesis around (-1 + y)
-1 + y + -1(y + 1) + -1(y + 2) + (y + 3) = 5y + -1

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

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

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

Remove parenthesis around (3 + y)
-1 + y + -1 + -1y + -2 + -1y + 3 + y = 5y + -1

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

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

Combine like terms: -2 + -2 = -4
-4 + 3 + y + -1y + -1y + y = 5y + -1

Combine like terms: -4 + 3 = -1
-1 + y + -1y + -1y + y = 5y + -1

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

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

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

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

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

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

Solving
0 = 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.
0 + -5y = 5y + -5y
Remove the zero:
-5y = 5y + -5y

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

Divide each side by '-5'.
y = 0

Simplifying
y = 0