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

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

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

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

Solving
42 + -18y = 6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
42 + -18y + -6y = 6 + 6y + -6y

Combine like terms: -18y + -6y = -24y
42 + -24y = 6 + 6y + -6y

Combine like terms: 6y + -6y = 0
42 + -24y = 6 + 0
42 + -24y = 6

Add '-42' to each side of the equation.
42 + -42 + -24y = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -24y = 6 + -42
-24y = 6 + -42

Combine like terms: 6 + -42 = -36
-24y = -36

Divide each side by '-24'.
y = 1.5

Simplifying
y = 1.5