(y-1)+(y+5)+(y+6)=34

Solution for (y-1)+(y+5)+(y+6)=34 equation:

Simplifying
(y + -1) + (y + 5) + (y + 6) = 34

Reorder the terms:
(-1 + y) + (y + 5) + (y + 6) = 34

Remove parenthesis around (-1 + y)
-1 + y + (y + 5) + (y + 6) = 34

Reorder the terms:
-1 + y + (5 + y) + (y + 6) = 34

Remove parenthesis around (5 + y)
-1 + y + 5 + y + (y + 6) = 34

Reorder the terms:
-1 + y + 5 + y + (6 + y) = 34

Remove parenthesis around (6 + y)
-1 + y + 5 + y + 6 + y = 34

Reorder the terms:
-1 + 5 + 6 + y + y + y = 34

Combine like terms: -1 + 5 = 4
4 + 6 + y + y + y = 34

Combine like terms: 4 + 6 = 10
10 + y + y + y = 34

Combine like terms: y + y = 2y
10 + 2y + y = 34

Combine like terms: 2y + y = 3y
10 + 3y = 34

Solving
10 + 3y = 34

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 3y = 34 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 34 + -10
3y = 34 + -10

Combine like terms: 34 + -10 = 24
3y = 24

Divide each side by '3'.
y = 8

Simplifying
y = 8