-(3y+1)-(-2y-6)=1

Solution for -(3y+1)-(-2y-6)=1 equation:

Simplifying
-1(3y + 1) + -1(-2y + -6) = 1

Reorder the terms:
-1(1 + 3y) + -1(-2y + -6) = 1
(1 * -1 + 3y * -1) + -1(-2y + -6) = 1
(-1 + -3y) + -1(-2y + -6) = 1

Reorder the terms:
-1 + -3y + -1(-6 + -2y) = 1
-1 + -3y + (-6 * -1 + -2y * -1) = 1
-1 + -3y + (6 + 2y) = 1

Reorder the terms:
-1 + 6 + -3y + 2y = 1

Combine like terms: -1 + 6 = 5
5 + -3y + 2y = 1

Combine like terms: -3y + 2y = -1y
5 + -1y = 1

Solving
5 + -1y = 1

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 1 + -5
-1y = 1 + -5

Combine like terms: 1 + -5 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4