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

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

Simplifying
6(y + 1) = 3(y + 3)

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

Reorder the terms:
6 + 6y = 3(3 + y)
6 + 6y = (3 * 3 + y * 3)
6 + 6y = (9 + 3y)

Solving
6 + 6y = 9 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
6 + 6y + -3y = 9 + 3y + -3y

Combine like terms: 6y + -3y = 3y
6 + 3y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + 3y = 9 + 0
6 + 3y = 9

Add '-6' to each side of the equation.
6 + -6 + 3y = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = 9 + -6
3y = 9 + -6

Combine like terms: 9 + -6 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1