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

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

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

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

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

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

Combine like terms: -4 + -2 = -6
-6 + 4y + -2y = 4y + -1(y + 5)

Combine like terms: 4y + -2y = 2y
-6 + 2y = 4y + -1(y + 5)

Reorder the terms:
-6 + 2y = 4y + -1(5 + y)
-6 + 2y = 4y + (5 * -1 + y * -1)
-6 + 2y = 4y + (-5 + -1y)

Reorder the terms:
-6 + 2y = -5 + 4y + -1y

Combine like terms: 4y + -1y = 3y
-6 + 2y = -5 + 3y

Solving
-6 + 2y = -5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-6 + 2y + -3y = -5 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-6 + -1y = -5 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + -1y = -5 + 0
-6 + -1y = -5

Add '6' to each side of the equation.
-6 + 6 + -1y = -5 + 6

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

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

Divide each side by '-1'.
y = -1

Simplifying
y = -1