3(y+1)+6y=-2y-2+8

Solution for 3(y+1)+6y=-2y-2+8 equation:

Simplifying
3(y + 1) + 6y = -2y + -2 + 8

Reorder the terms:
3(1 + y) + 6y = -2y + -2 + 8
(1 * 3 + y * 3) + 6y = -2y + -2 + 8
(3 + 3y) + 6y = -2y + -2 + 8

Combine like terms: 3y + 6y = 9y
3 + 9y = -2y + -2 + 8

Reorder the terms:
3 + 9y = -2 + 8 + -2y

Combine like terms: -2 + 8 = 6
3 + 9y = 6 + -2y

Solving
3 + 9y = 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.
3 + 9y + 2y = 6 + -2y + 2y

Combine like terms: 9y + 2y = 11y
3 + 11y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
3 + 11y = 6 + 0
3 + 11y = 6

Add '-3' to each side of the equation.
3 + -3 + 11y = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 11y = 6 + -3
11y = 6 + -3

Combine like terms: 6 + -3 = 3
11y = 3

Divide each side by '11'.
y = 0.2727272727

Simplifying
y = 0.2727272727