Question

1/6(4y+5)-2/3(2y+7)=3/2

Answer 1

1/6(4y+5)-2/3(2y+7) = 3/2
4y+5/6  -  4y-14/3  =3/2
4y+5-8y-28/6
-4y-23 = 3/2 × 6
-4y-23 = 9
-4y = 9+23
-4y = 32 
y = -32/4
therefore y= -8

Answer 2

Step-by-step explanation:

$\frac{1}{6} (4y + 5) - \frac{2}{3} (2y + 7) = \frac{3}{2} \\ </p><p> \frac{2}{3} y + \frac{5}{6} - \frac{4}{3} y - \frac{14}{3} = \frac{3}{2} \\ </p><p>\frac{2}{3} y - \frac{4}{3} y + \frac{5}{6} - \frac{14}{3} = \frac{3}{2} \\ </p><p> - \frac{2}{3} y + \frac{5 - 28}{6} = \frac{3}{2} \\</p><p> - \frac{2}{3} y - \frac{23}{6} = \frac{3}{2} \\ </p><p> - \frac{2}{3} y = \frac{3}{2} + \frac{23}{6} \\</p><p> - \frac{2}{3} y = \frac{ 9+ 23}{6} \\ </p><p> - \frac{2}{3} y = \frac{32}{6} \\</p><p> y = \frac{32}{6} \times - \frac{3}{2} \\ </p><p> y = - 8 \\ </p><p> \\ hope \: it \: helps$