(Y+6y-5)+(-y-3y-1)=

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

Simplifying
(Y + 6y + -5) + (-1y + -3y + -1) = 0

Reorder the terms:
(-5 + Y + 6y) + (-1y + -3y + -1) = 0

Remove parenthesis around (-5 + Y + 6y)
-5 + Y + 6y + (-1y + -3y + -1) = 0

Reorder the terms:
-5 + Y + 6y + (-1 + -1y + -3y) = 0

Combine like terms: -1y + -3y = -4y
-5 + Y + 6y + (-1 + -4y) = 0

Remove parenthesis around (-1 + -4y)
-5 + Y + 6y + -1 + -4y = 0

Reorder the terms:
-5 + -1 + Y + 6y + -4y = 0

Combine like terms: -5 + -1 = -6
-6 + Y + 6y + -4y = 0

Combine like terms: 6y + -4y = 2y
-6 + Y + 2y = 0

Solving
-6 + Y + 2y = 0

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 + Y + 6 + 2y = 0 + 6

Reorder the terms:
-6 + 6 + Y + 2y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + Y + 2y = 0 + 6
Y + 2y = 0 + 6

Combine like terms: 0 + 6 = 6
Y + 2y = 6

Add '-2y' to each side of the equation.
Y + 2y + -2y = 6 + -2y

Combine like terms: 2y + -2y = 0
Y + 0 = 6 + -2y
Y = 6 + -2y

Simplifying
Y = 6 + -2y