-(8y+1)-(-7y-7)=1

Solution for -(8y+1)-(-7y-7)=1 equation:

Simplifying
-1(8y + 1) + -1(-7y + -7) = 1

Reorder the terms:
-1(1 + 8y) + -1(-7y + -7) = 1
(1 * -1 + 8y * -1) + -1(-7y + -7) = 1
(-1 + -8y) + -1(-7y + -7) = 1

Reorder the terms:
-1 + -8y + -1(-7 + -7y) = 1
-1 + -8y + (-7 * -1 + -7y * -1) = 1
-1 + -8y + (7 + 7y) = 1

Reorder the terms:
-1 + 7 + -8y + 7y = 1

Combine like terms: -1 + 7 = 6
6 + -8y + 7y = 1

Combine like terms: -8y + 7y = -1y
6 + -1y = 1

Solving
6 + -1y = 1

Solving for variable 'y'.

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

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

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

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

Divide each side by '-1'.
y = 5

Simplifying
y = 5