Question

3y-2/7 - 5y-8/4 = 1/14​

Answer 1

Answer:

$\frac{3y - 2}{7} - \frac{5y - 8}{4} = \frac{1}{14} \\ \\ = > \frac{4(3y - 2) - 7(5y - 8)}{4} = \frac{1}{14} \\ \\ = > \frac{12y - 8 - 35y + 56}{4} = \frac{1}{14} \\ \\ = > \frac{ - 23y + 48}{4} = \frac{1}{14} \\ \\ = > 14( - 23y + 48) = 4 \\ \\ = > - 322y + 672 = 4 \\ \\ = > - 322y = 4 - 672 \\ \\ = > - 322y = - 668 \\ \\ = > 322y = 668 \\ \\ ( - \: and \: - \: cancelled) \\ \\ = > y = \frac{668}{322} \\ \\ = > y = 2.074$

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Answer 2

Answer:

y=-3

Step-by-step explanation:

3y-2/7-5y=1/14+8/7

3y-2/7-5y=1/14+8×2/7×2

-2y-2/7=1/14+16/14

-2y-2/7=17/14

-2y=17/14+2/7

-2y=17/14+2×2/7×2

-2y=17/14+4/14

-2y=21/14

-2y=3/2

y= -6/2

y=-3