6(y+3)=3(y+2)

Solution for 6(y+3)=3(y+2) equation:

Simplifying
6(y + 3) = 3(y + 2)

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

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

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

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

Combine like terms: 3y + -3y = 0
18 + 3y = 6 + 0
18 + 3y = 6

Add '-18' to each side of the equation.
18 + -18 + 3y = 6 + -18

Combine like terms: 18 + -18 = 0
0 + 3y = 6 + -18
3y = 6 + -18

Combine like terms: 6 + -18 = -12
3y = -12

Divide each side by '3'.
y = -4

Simplifying
y = -4