6(7-3y)+6(y+1)=0

Solution for 6(7-3y)+6(y+1)=0 equation:

Simplifying
6(7 + -3y) + 6(y + 1) = 0
(7 * 6 + -3y * 6) + 6(y + 1) = 0
(42 + -18y) + 6(y + 1) = 0

Reorder the terms:
42 + -18y + 6(1 + y) = 0
42 + -18y + (1 * 6 + y * 6) = 0
42 + -18y + (6 + 6y) = 0

Reorder the terms:
42 + 6 + -18y + 6y = 0

Combine like terms: 42 + 6 = 48
48 + -18y + 6y = 0

Combine like terms: -18y + 6y = -12y
48 + -12y = 0

Solving
48 + -12y = 0

Solving for variable 'y'.

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

Add '-48' to each side of the equation.
48 + -48 + -12y = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -12y = 0 + -48
-12y = 0 + -48

Combine like terms: 0 + -48 = -48
-12y = -48

Divide each side by '-12'.
y = 4

Simplifying
y = 4