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

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

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

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

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

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

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

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

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

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

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

Combine like terms: 5 + 5 = 10
10 + Y + y + y = 34

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

Solving
10 + Y + 2y = 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 + Y + -10 + 2y = 34 + -10

Reorder the terms:
10 + -10 + Y + 2y = 34 + -10

Combine like terms: 10 + -10 = 0
0 + Y + 2y = 34 + -10
Y + 2y = 34 + -10

Combine like terms: 34 + -10 = 24
Y + 2y = 24

Add '-2y' to each side of the equation.
Y + 2y + -2y = 24 + -2y

Combine like terms: 2y + -2y = 0
Y + 0 = 24 + -2y
Y = 24 + -2y

Simplifying
Y = 24 + -2y