Y+2(y+3)=12

Solution for Y+2(y+3)=12 equation:

Simplifying
Y + 2(y + 3) = 12

Reorder the terms:
Y + 2(3 + y) = 12
Y + (3 * 2 + y * 2) = 12
Y + (6 + 2y) = 12

Reorder the terms:
6 + Y + 2y = 12

Solving
6 + Y + 2y = 12

Solving for variable 'Y'.

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

Add '-6' to each side of the equation.
6 + Y + -6 + 2y = 12 + -6

Reorder the terms:
6 + -6 + Y + 2y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + Y + 2y = 12 + -6
Y + 2y = 12 + -6

Combine like terms: 12 + -6 = 6
Y + 2y = 6

Add '-2y' to each side of the equation.
Y + 2y + -2y = 6 + -2y

Combine like terms: 2y + -2y = 0
Y + 0 = 6 + -2y
Y = 6 + -2y

Simplifying
Y = 6 + -2y