Step 1: Simplify the left side of the first equation.
5(3-2y)-4(9-y)=3(y+5)
15 - 10y - 36 + 4y = 3y + 15
5 - 6y = 3y + 15

Step 2: Combine like terms on both sides.
-6y - 3y = 15 - 5
-9y = 10

Step 3: Divide by -9 to isolate y.
y = -10/9

Step 4: Substitute the value of y back into the equation to check if it is correct.
5(3-2(-10/9))-4(9-(-10/9)) = 3((-10/9)+5)
5(3+20/9)-4(81/9+10/9) = 3/9(-10+45)
5(27/9+20/9)-4(91/9) = 3/9(35)
5(47/9)-4(91/9)=105/9
235/9 - 364/9 = 105/9
-129/9 = 105/9
-129 = 105
The solution is incorrect.

Now, let's move on to the second equation.

Step 1: Simplify the left side of the second equation.
9(3x-7)+3(8x-11)=3(9x+8)
27x - 63 + 24x - 33 = 27x + 24
51x - 96 = 27x + 24

Step 2: Combine like terms on both sides.
51x - 27x = 96 + 24
24x = 120

Step 3: Divide by 24 to isolate x.
x = 5

Step 4: Substitute the value of x back into the equation to check if it is correct.
9(3(5)-7)+3(8(5)-11)=3(9(5)+8)
9(15-7)+3(40-11)=3(45+8)
9(8)+3(29)=3(53)
72 + 87 = 159
159 = 159

The solution is correct.