2(y+3)=3(4-y)-11

Solution for 2(y+3)=3(4-y)-11 equation:

Simplifying
2(y + 3) = 3(4 + -1y) + -11

Reorder the terms:
2(3 + y) = 3(4 + -1y) + -11
(3 * 2 + y * 2) = 3(4 + -1y) + -11
(6 + 2y) = 3(4 + -1y) + -11
6 + 2y = (4 * 3 + -1y * 3) + -11
6 + 2y = (12 + -3y) + -11

Reorder the terms:
6 + 2y = 12 + -11 + -3y

Combine like terms: 12 + -11 = 1
6 + 2y = 1 + -3y

Solving
6 + 2y = 1 + -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 = 1 + -3y + 3y

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

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

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

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

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

Divide each side by '5'.
y = -1

Simplifying
y = -1