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

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

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

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

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

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

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

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

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

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

Combine like terms: -4 + -6 = -10
6y = -10

Divide each side by '6'.
y = -1.666666667

Simplifying
y = -1.666666667