3(y+2)=18(y+2)+1

Solution for 3(y+2)=18(y+2)+1 equation:

Simplifying
3(y + 2) = 18(y + 2) + 1

Reorder the terms:
3(2 + y) = 18(y + 2) + 1
(2 * 3 + y * 3) = 18(y + 2) + 1
(6 + 3y) = 18(y + 2) + 1

Reorder the terms:
6 + 3y = 18(2 + y) + 1
6 + 3y = (2 * 18 + y * 18) + 1
6 + 3y = (36 + 18y) + 1

Reorder the terms:
6 + 3y = 36 + 1 + 18y

Combine like terms: 36 + 1 = 37
6 + 3y = 37 + 18y

Solving
6 + 3y = 37 + 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 + 3y + -18y = 37 + 18y + -18y

Combine like terms: 3y + -18y = -15y
6 + -15y = 37 + 18y + -18y

Combine like terms: 18y + -18y = 0
6 + -15y = 37 + 0
6 + -15y = 37

Add '-6' to each side of the equation.
6 + -6 + -15y = 37 + -6

Combine like terms: 6 + -6 = 0
0 + -15y = 37 + -6
-15y = 37 + -6

Combine like terms: 37 + -6 = 31
-15y = 31

Divide each side by '-15'.
y = -2.066666667

Simplifying
y = -2.066666667