2(y+3)=-5(y-6)-31

Solution for 2(y+3)=-5(y-6)-31 equation:

Simplifying
2(y + 3) = -5(y + -6) + -31

Reorder the terms:
2(3 + y) = -5(y + -6) + -31
(3 * 2 + y * 2) = -5(y + -6) + -31
(6 + 2y) = -5(y + -6) + -31

Reorder the terms:
6 + 2y = -5(-6 + y) + -31
6 + 2y = (-6 * -5 + y * -5) + -31
6 + 2y = (30 + -5y) + -31

Reorder the terms:
6 + 2y = 30 + -31 + -5y

Combine like terms: 30 + -31 = -1
6 + 2y = -1 + -5y

Solving
6 + 2y = -1 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
6 + 2y + 5y = -1 + -5y + 5y

Combine like terms: 2y + 5y = 7y
6 + 7y = -1 + -5y + 5y

Combine like terms: -5y + 5y = 0
6 + 7y = -1 + 0
6 + 7y = -1

Add '-6' to each side of the equation.
6 + -6 + 7y = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 7y = -1 + -6
7y = -1 + -6

Combine like terms: -1 + -6 = -7
7y = -7

Divide each side by '7'.
y = -1

Simplifying
y = -1