1234567890x=1234567890y-1+1-2+2-3+3-4+4-5+5-6+6-7+7-8+8-9+9-0+0

Solution for 1234567890x=1234567890y-1+1-2+2-3+3-4+4-5+5-6+6-7+7-8+8-9+9-0+0 equation:

Simplifying
1234567890x = 1234567890y + -1 + 1 + -2 + 2 + -3 + 3 + -4 + 4 + -5 + 5 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0

Reorder the terms:
1234567890x = -1 + 1 + -2 + 2 + -3 + 3 + -4 + 4 + -5 + 5 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y

Combine like terms: -1 + 1 = 0
1234567890x = 0 + -2 + 2 + -3 + 3 + -4 + 4 + -5 + 5 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y
1234567890x = -2 + 2 + -3 + 3 + -4 + 4 + -5 + 5 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y

Combine like terms: -2 + 2 = 0
1234567890x = 0 + -3 + 3 + -4 + 4 + -5 + 5 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y
1234567890x = -3 + 3 + -4 + 4 + -5 + 5 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y

Combine like terms: -3 + 3 = 0
1234567890x = 0 + -4 + 4 + -5 + 5 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y
1234567890x = -4 + 4 + -5 + 5 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y

Combine like terms: -4 + 4 = 0
1234567890x = 0 + -5 + 5 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y
1234567890x = -5 + 5 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y

Combine like terms: -5 + 5 = 0
1234567890x = 0 + -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y
1234567890x = -6 + 6 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y

Combine like terms: -6 + 6 = 0
1234567890x = 0 + -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y
1234567890x = -7 + 7 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y

Combine like terms: -7 + 7 = 0
1234567890x = 0 + -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y
1234567890x = -8 + 8 + -9 + 9 + 0 + 0 + 1234567890y

Combine like terms: -8 + 8 = 0
1234567890x = 0 + -9 + 9 + 0 + 0 + 1234567890y
1234567890x = -9 + 9 + 0 + 0 + 1234567890y

Combine like terms: -9 + 9 = 0
1234567890x = 0 + 0 + 0 + 1234567890y
1234567890x = 0 + 0 + 1234567890y

Combine like terms: 0 + 0 = 0
1234567890x = 0 + 1234567890y
1234567890x = 1234567890y

Solving
1234567890x = 1234567890y

Solving for variable 'x'.

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

Divide each side by '1234567890'.
x = y

Simplifying
x = y