2y-(8y-2)+1=0

Solution for 2y-(8y-2)+1=0 equation:

Simplifying
2y + -1(8y + -2) + 1 = 0

Reorder the terms:
2y + -1(-2 + 8y) + 1 = 0
2y + (-2 * -1 + 8y * -1) + 1 = 0
2y + (2 + -8y) + 1 = 0

Reorder the terms:
2 + 1 + 2y + -8y = 0

Combine like terms: 2 + 1 = 3
3 + 2y + -8y = 0

Combine like terms: 2y + -8y = -6y
3 + -6y = 0

Solving
3 + -6y = 0

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + -6y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -6y = 0 + -3
-6y = 0 + -3

Combine like terms: 0 + -3 = -3
-6y = -3

Divide each side by '-6'.
y = 0.5

Simplifying
y = 0.5