$\frac{2x - 7}{3} = \frac{5x + 4}{5}$ | * 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
$y = -\frac{55}{22} = -\frac{5}{2} = -2\frac{1}{2}$