-(3y+1)-(-2y-7)=2

Solution for -(3y+1)-(-2y-7)=2 equation:

Simplifying
-1(3y + 1) + -1(-2y + -7) = 2

Reorder the terms:
-1(1 + 3y) + -1(-2y + -7) = 2
(1 * -1 + 3y * -1) + -1(-2y + -7) = 2
(-1 + -3y) + -1(-2y + -7) = 2

Reorder the terms:
-1 + -3y + -1(-7 + -2y) = 2
-1 + -3y + (-7 * -1 + -2y * -1) = 2
-1 + -3y + (7 + 2y) = 2

Reorder the terms:
-1 + 7 + -3y + 2y = 2

Combine like terms: -1 + 7 = 6
6 + -3y + 2y = 2

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

Solving
6 + -1y = 2

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 = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 2 + -6
-1y = 2 + -6

Combine like terms: 2 + -6 = -4
-1y = -4

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

Simplifying
y = 4