2(y+3)=-6(y-1)-40

Solution for 2(y+3)=-6(y-1)-40 equation:

Simplifying
2(y + 3) = -6(y + -1) + -40

Reorder the terms:
2(3 + y) = -6(y + -1) + -40
(3 * 2 + y * 2) = -6(y + -1) + -40
(6 + 2y) = -6(y + -1) + -40

Reorder the terms:
6 + 2y = -6(-1 + y) + -40
6 + 2y = (-1 * -6 + y * -6) + -40
6 + 2y = (6 + -6y) + -40

Reorder the terms:
6 + 2y = 6 + -40 + -6y

Combine like terms: 6 + -40 = -34
6 + 2y = -34 + -6y

Solving
6 + 2y = -34 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
6 + 2y + 6y = -34 + -6y + 6y

Combine like terms: 2y + 6y = 8y
6 + 8y = -34 + -6y + 6y

Combine like terms: -6y + 6y = 0
6 + 8y = -34 + 0
6 + 8y = -34

Add '-6' to each side of the equation.
6 + -6 + 8y = -34 + -6

Combine like terms: 6 + -6 = 0
0 + 8y = -34 + -6
8y = -34 + -6

Combine like terms: -34 + -6 = -40
8y = -40

Divide each side by '8'.
y = -5

Simplifying
y = -5