-(4y+1)-(-3y-7)=4

Solution for -(4y+1)-(-3y-7)=4 equation:

Simplifying
-1(4y + 1) + -1(-3y + -7) = 4

Reorder the terms:
-1(1 + 4y) + -1(-3y + -7) = 4
(1 * -1 + 4y * -1) + -1(-3y + -7) = 4
(-1 + -4y) + -1(-3y + -7) = 4

Reorder the terms:
-1 + -4y + -1(-7 + -3y) = 4
-1 + -4y + (-7 * -1 + -3y * -1) = 4
-1 + -4y + (7 + 3y) = 4

Reorder the terms:
-1 + 7 + -4y + 3y = 4

Combine like terms: -1 + 7 = 6
6 + -4y + 3y = 4

Combine like terms: -4y + 3y = -1y
6 + -1y = 4

Solving
6 + -1y = 4

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 = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 4 + -6
-1y = 4 + -6

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2