4-2(y-1)=3y+(y-5)

Solution for 4-2(y-1)=3y+(y-5) equation:

Simplifying
4 + -2(y + -1) = 3y + (y + -5)

Reorder the terms:
4 + -2(-1 + y) = 3y + (y + -5)
4 + (-1 * -2 + y * -2) = 3y + (y + -5)
4 + (2 + -2y) = 3y + (y + -5)

Combine like terms: 4 + 2 = 6
6 + -2y = 3y + (y + -5)

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

Remove parenthesis around (-5 + y)
6 + -2y = 3y + -5 + y

Reorder the terms:
6 + -2y = -5 + 3y + y

Combine like terms: 3y + y = 4y
6 + -2y = -5 + 4y

Solving
6 + -2y = -5 + 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.
6 + -2y + -4y = -5 + 4y + -4y

Combine like terms: -2y + -4y = -6y
6 + -6y = -5 + 4y + -4y

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

Add '-6' to each side of the equation.
6 + -6 + -6y = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -6y = -5 + -6
-6y = -5 + -6

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

Divide each side by '-6'.
y = 1.833333333

Simplifying
y = 1.833333333