-(6y+5)-(-5y-8)=1

Solution for -(6y+5)-(-5y-8)=1 equation:

Simplifying
-1(6y + 5) + -1(-5y + -8) = 1

Reorder the terms:
-1(5 + 6y) + -1(-5y + -8) = 1
(5 * -1 + 6y * -1) + -1(-5y + -8) = 1
(-5 + -6y) + -1(-5y + -8) = 1

Reorder the terms:
-5 + -6y + -1(-8 + -5y) = 1
-5 + -6y + (-8 * -1 + -5y * -1) = 1
-5 + -6y + (8 + 5y) = 1

Reorder the terms:
-5 + 8 + -6y + 5y = 1

Combine like terms: -5 + 8 = 3
3 + -6y + 5y = 1

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

Solving
3 + -1y = 1

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 + -1y = 1 + -3

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2