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

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

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

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

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

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

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

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

Solving
6 + -7y = -1

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 + -7y = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = -1 + -6
-7y = -1 + -6

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

Divide each side by '-7'.
y = 1

Simplifying
y = 1