Question

(4/5)y -1=(2/5)y+4/15

Answer 1

Answer:

(4/5)y-(2/5)y=4/15+1

(2/5)y=19/15

2y=19/3

y=19/6

Answer 2

Answer:

$\bf y = \frac{19}{6}$

Step-by-step explanation:

$\frac{4}{5} y - 1 = \frac{2}{5} y + \frac{4}{15} \\ \\ \frac{4y}{5} - 1 = \frac{2y}{5} + \frac{4}{15} \\ \\ \frac{4y - 5}{5} = \frac{2y \times 3 + 4 \times 1}{15} \\ \\ \frac{4y - 5}{5} = \frac{6y + 4}{15}$

On cross-multiplying we get:

$15(4y - 5) = 5(6y + 4) \\ \\ 60y - 75 = 30y + 20 \\ \\ 60y - 30y = 20 + 75 \\ \\ 30y = 95 \\ \\ y = \frac{95}{30} \\ \\ \bf y = \frac{19}{6}$