6y+2+(3y+4)=11y-6

Solution for 6y+2+(3y+4)=11y-6 equation:

Simplifying
6y + 2 + (3y + 4) = 11y + -6

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

Remove parenthesis around (4 + 3y)
6y + 2 + 4 + 3y = 11y + -6

Reorder the terms:
2 + 4 + 6y + 3y = 11y + -6

Combine like terms: 2 + 4 = 6
6 + 6y + 3y = 11y + -6

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

Reorder the terms:
6 + 9y = -6 + 11y

Solving
6 + 9y = -6 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
6 + 9y + -11y = -6 + 11y + -11y

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

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

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

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

Combine like terms: -6 + -6 = -12
-2y = -12

Divide each side by '-2'.
y = 6

Simplifying
y = 6