6(y+1)=18(y-5)

Solution for 6(y+1)=18(y-5) equation:

Simplifying
6(y + 1) = 18(y + -5)

Reorder the terms:
6(1 + y) = 18(y + -5)
(1 * 6 + y * 6) = 18(y + -5)
(6 + 6y) = 18(y + -5)

Reorder the terms:
6 + 6y = 18(-5 + y)
6 + 6y = (-5 * 18 + y * 18)
6 + 6y = (-90 + 18y)

Solving
6 + 6y = -90 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
6 + 6y + -18y = -90 + 18y + -18y

Combine like terms: 6y + -18y = -12y
6 + -12y = -90 + 18y + -18y

Combine like terms: 18y + -18y = 0
6 + -12y = -90 + 0
6 + -12y = -90

Add '-6' to each side of the equation.
6 + -6 + -12y = -90 + -6

Combine like terms: 6 + -6 = 0
0 + -12y = -90 + -6
-12y = -90 + -6

Combine like terms: -90 + -6 = -96
-12y = -96

Divide each side by '-12'.
y = 8

Simplifying
y = 8