-(5y+1)-(-4y-7)=5

Solution for -(5y+1)-(-4y-7)=5 equation:

Simplifying
-1(5y + 1) + -1(-4y + -7) = 5

Reorder the terms:
-1(1 + 5y) + -1(-4y + -7) = 5
(1 * -1 + 5y * -1) + -1(-4y + -7) = 5
(-1 + -5y) + -1(-4y + -7) = 5

Reorder the terms:
-1 + -5y + -1(-7 + -4y) = 5
-1 + -5y + (-7 * -1 + -4y * -1) = 5
-1 + -5y + (7 + 4y) = 5

Reorder the terms:
-1 + 7 + -5y + 4y = 5

Combine like terms: -1 + 7 = 6
6 + -5y + 4y = 5

Combine like terms: -5y + 4y = -1y
6 + -1y = 5

Solving
6 + -1y = 5

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 = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 5 + -6
-1y = 5 + -6

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

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

Simplifying
y = 1