6-(y-5)=5(y+1)-6(1-y)

Solution for 6-(y-5)=5(y+1)-6(1-y) equation:

Simplifying
6 + -1(y + -5) = 5(y + 1) + -6(1 + -1y)

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

Combine like terms: 6 + 5 = 11
11 + -1y = 5(y + 1) + -6(1 + -1y)

Reorder the terms:
11 + -1y = 5(1 + y) + -6(1 + -1y)
11 + -1y = (1 * 5 + y * 5) + -6(1 + -1y)
11 + -1y = (5 + 5y) + -6(1 + -1y)
11 + -1y = 5 + 5y + (1 * -6 + -1y * -6)
11 + -1y = 5 + 5y + (-6 + 6y)

Reorder the terms:
11 + -1y = 5 + -6 + 5y + 6y

Combine like terms: 5 + -6 = -1
11 + -1y = -1 + 5y + 6y

Combine like terms: 5y + 6y = 11y
11 + -1y = -1 + 11y

Solving
11 + -1y = -1 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
11 + -1y + -11y = -1 + 11y + -11y

Combine like terms: -1y + -11y = -12y
11 + -12y = -1 + 11y + -11y

Combine like terms: 11y + -11y = 0
11 + -12y = -1 + 0
11 + -12y = -1

Add '-11' to each side of the equation.
11 + -11 + -12y = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -12y = -1 + -11
-12y = -1 + -11

Combine like terms: -1 + -11 = -12
-12y = -12

Divide each side by '-12'.
y = 1

Simplifying
y = 1