$\frac{2x-7}{3}=\frac{5x+4}{5}$ | * 15
5(2x − 7) = 3(5x + 4)
10x − 35 = 15x + 12
10x − 15x = 12 + 35
−5x = 47
$x=-\frac{47}{5}=-9\frac{2}{5}$

$\frac{3x+5}{15}-\frac{x}{3}=\frac{2}{9}$ | * 45
3(3x + 5) − 15x = 10
9x + 15 − 15x = 10
−6x = 10 − 15
−6x = −5
$x=\frac{5}{6}$

$\frac{3y+8}{6}=\frac{1-4y}{7}$ | * 42
7(3y + 8) = 6(1 − 4y)
21y + 56 = 6 − 24y
21y + 24y = 6 − 56
45y = −50
$y=-\frac{50}{45}=-\frac{10}{9}=-1\frac{1}{9}$

$\frac{4y}{3}-\frac{5y+4}{12}=-2\frac{5}{8}$
$\frac{4y}{3}-\frac{5y+4}{12}=-\frac{21}{8}$ | * 24
32y − 2(5y + 4) = −63
32y − 10y − 8 = −63
22y = −63 + 8
22y = −55
$y=-\frac{55}{22}=-\frac{5}{2}=-2\frac{1}{2}$