-(6y+1)-(-5y-8)=2

Solution for -(6y+1)-(-5y-8)=2 equation:

Simplifying
-1(6y + 1) + -1(-5y + -8) = 2

Reorder the terms:
-1(1 + 6y) + -1(-5y + -8) = 2
(1 * -1 + 6y * -1) + -1(-5y + -8) = 2
(-1 + -6y) + -1(-5y + -8) = 2

Reorder the terms:
-1 + -6y + -1(-8 + -5y) = 2
-1 + -6y + (-8 * -1 + -5y * -1) = 2
-1 + -6y + (8 + 5y) = 2

Reorder the terms:
-1 + 8 + -6y + 5y = 2

Combine like terms: -1 + 8 = 7
7 + -6y + 5y = 2

Combine like terms: -6y + 5y = -1y
7 + -1y = 2

Solving
7 + -1y = 2

Solving for variable 'y'.

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 2 + -7
-1y = 2 + -7

Combine like terms: 2 + -7 = -5
-1y = -5

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

Simplifying
y = 5