$\frac{3x + 5}{5} - \frac{x + 1}{3} = 1$ |*15
3(3x + 5) − 5(x + 1) = 15
9x + 15 − 5x − 5 = 15
4x = 15 − 15 + 5
4x = 5
$x = \frac{5}{4}$
x = 1,25

$\frac{2p - 1}{6} - \frac{p + 1}{3} = p$ |*6
2p − 1 − 2(p + 1) = 6p
2p − 1 − 2p − 2 = 6p
−6p = 3
p = 3 : (−6)
p = −0,5

$\frac{6y - 1}{15} - \frac{y}{5} = \frac{2y}{3}$ |*15
6y − 1 − 3y = 10y
3y − 10y = 1
−7y = 1
$y = -\frac{1}{7}$

$\frac{12 - x}{4} - \frac{2 - x}{3} = \frac{x}{6}$ |*12
3(12 − x) − 4(2 − x) = 2x
36 − 3x − 8 + 4x = 2x
x − 2x = 8 − 36
−x = −28
x = 28