Algebra Equations HELP!

I need help with these problems, there were just these few (out of 75) off my homework that I couldn't figure out. Answer as many as you wish!
1. -2(4y-21) < 12y-16+9y
2. n-3n > -4n-7
3. 10(x+2) > -2(6-9x)
4. 11+3(-8+5x) < 16x-8
5. 12(2x+3) > 3(9+7x)
6. 35-18x > -8(x+3x)
7. 12x+-2(x+5) < 3x(5+2)+45

1)

-2(4y - 21) < 12y - 16 + 9y
-8y + 42 < 21y - 16
21y - 16 > -8y + 42
21y + 8y > 42 + 16
29y > 58
y > 58 / 29
y > 2

2)

n - 3n > -4n - 7
-2n > -4n - 7
4n - 2n > -7
2n > -7
n > -7 / 2
n > -3.5

3)

10(x + 2) > -2(6 - 9x)
10x + 20 > -12 + 18x
18x - 12 < 10x + 20
18x - 10x < 20 + 12
8x < 32
x < 32 / 8
x < 4

4)

11 + 3(-8 + 5x) < 16x - 8
11 - 24 + 15x < 16x - 8
15x - 13 < 16x - 8
16x - 8 > 15x - 13
16x - 15x > 8 - 13
x > -5

5)

12(2x + 3) > 3(9 + 7x)
24x + 36 > 27 + 21x
24x - 21x > 27 - 36
3x > -9
x > -9 / 3
x > -3

6)

35 - 18x > -8(x + 3x)
35 - 18x > -8(4x)
35 - 18x > -32x
32x - 18x > -35
14x > -35
x > -35 / 14
x > -5/2
x > -2.5

7)

12x + -2(x + 5) < 3x(5 + 2) + 45
12x - 2x - 10 < 3x(7) + 45
10x - 10 < 21x + 45
21x + 45 > 10x - 10
21x - 10x > -10 - 45
11x > -55
x > -55 / 11
x > -5

1) y>2

2) n>-7/2

3) x<16

4) x> 21

5) x>-3

6) x> 7/10

7) x< -5