1) 3x - 2 = 2x - 3

To solve this equation, we need to isolate x on one side of the equation.

Subtract 2x from both sides:
3x - 2x - 2 = 2x - 2x - 3
x - 2 = -3

Add 2 to both sides:
x - 2 + 2 = -3 + 2
x = -1

Therefore, x = -1.

2) 3 - 4y + 24 + 6y = y + 27 + 3y

To solve this equation, we need to combine like terms on both sides.

Combine like terms on the left side:
3 - 4y + 24 + 6y = 30 + 2y

Combine like terms on the right side:
y + 27 + 3y = 4y + 27

Now we have:
-4y + 6y = 2y
27 + 3y = 30 + 2y

Subtract 2y from both sides:
2y - 2y = 0
3y - 2y = y

Subtract 27 from both sides:
30 - 27 = 3
4y - y = 3

Therefore, the solution to the equation is y = 3.