-(5y+3)-(-4y-6)=2

Solution for -(5y+3)-(-4y-6)=2 equation:

Simplifying
-1(5y + 3) + -1(-4y + -6) = 2

Reorder the terms:
-1(3 + 5y) + -1(-4y + -6) = 2
(3 * -1 + 5y * -1) + -1(-4y + -6) = 2
(-3 + -5y) + -1(-4y + -6) = 2

Reorder the terms:
-3 + -5y + -1(-6 + -4y) = 2
-3 + -5y + (-6 * -1 + -4y * -1) = 2
-3 + -5y + (6 + 4y) = 2

Reorder the terms:
-3 + 6 + -5y + 4y = 2

Combine like terms: -3 + 6 = 3
3 + -5y + 4y = 2

Combine like terms: -5y + 4y = -1y
3 + -1y = 2

Solving
3 + -1y = 2

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 = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 2 + -3
-1y = 2 + -3

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

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

Simplifying
y = 1