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

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

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

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

Reorder the terms:
42 + 6 + -18y + 6y = 1

Combine like terms: 42 + 6 = 48
48 + -18y + 6y = 1

Combine like terms: -18y + 6y = -12y
48 + -12y = 1

Solving
48 + -12y = 1

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 = 1 + -48

Combine like terms: 48 + -48 = 0
0 + -12y = 1 + -48
-12y = 1 + -48

Combine like terms: 1 + -48 = -47
-12y = -47

Divide each side by '-12'.
y = 3.916666667

Simplifying
y = 3.916666667