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

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

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

Reorder the terms:
4(-1 + y) = -2(3 + y)
(-1 * 4 + y * 4) = -2(3 + y)
(-4 + 4y) = -2(3 + y)
-4 + 4y = (3 * -2 + y * -2)
-4 + 4y = (-6 + -2y)

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

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-4 + 4y + 2y = -6 + -2y + 2y

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

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

Add '4' to each side of the equation.
-4 + 4 + 6y = -6 + 4

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

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

Divide each side by '6'.
y = -0.3333333333

Simplifying
y = -0.3333333333