7-(-y-5)=2(y+3)-6(y+1)

Solution for 7-(-y-5)=2(y+3)-6(y+1) equation:

Simplifying
7 + -1(-1y + -5) = 2(y + 3) + -6(y + 1)

Reorder the terms:
7 + -1(-5 + -1y) = 2(y + 3) + -6(y + 1)
7 + (-5 * -1 + -1y * -1) = 2(y + 3) + -6(y + 1)
7 + (5 + 1y) = 2(y + 3) + -6(y + 1)

Combine like terms: 7 + 5 = 12
12 + 1y = 2(y + 3) + -6(y + 1)

Reorder the terms:
12 + 1y = 2(3 + y) + -6(y + 1)
12 + 1y = (3 * 2 + y * 2) + -6(y + 1)
12 + 1y = (6 + 2y) + -6(y + 1)

Reorder the terms:
12 + 1y = 6 + 2y + -6(1 + y)
12 + 1y = 6 + 2y + (1 * -6 + y * -6)
12 + 1y = 6 + 2y + (-6 + -6y)

Reorder the terms:
12 + 1y = 6 + -6 + 2y + -6y

Combine like terms: 6 + -6 = 0
12 + 1y = 0 + 2y + -6y
12 + 1y = 2y + -6y

Combine like terms: 2y + -6y = -4y
12 + 1y = -4y

Solving
12 + 1y = -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
12 + 1y + 4y = -4y + 4y

Combine like terms: 1y + 4y = 5y
12 + 5y = -4y + 4y

Combine like terms: -4y + 4y = 0
12 + 5y = 0

Add '-12' to each side of the equation.
12 + -12 + 5y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5y = 0 + -12
5y = 0 + -12

Combine like terms: 0 + -12 = -12
5y = -12

Divide each side by '5'.
y = -2.4

Simplifying
y = -2.4