-(5y+3)-(-4y-5)=1

Solution for -(5y+3)-(-4y-5)=1 equation:

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

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

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

Reorder the terms:
-3 + 5 + -5y + 4y = 1

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

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

Solving
2 + -1y = 1

Solving for variable 'y'.

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

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

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

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

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

Simplifying
y = 1