Y 6 4 y 3 5 5y 4 8

Asked by admin @ in Math viewed by 310 People

Solve this equation: y+6÷4+y-3÷5=5y-4÷8

Answered by admin @


Heya!!Here is your answer friend ⤵⤵

\frac{y + 6}{4} + \frac{y - 3}{5} = \frac{5y - 4}{8} \\ \frac{5(y + 6) + 4(y - 3)}{20} = \frac{5y - 4}{8} \\ \frac{5y + 30 + 4y - 12}{20} = \frac{5y - 4}{8} \\ \frac{9y + 18}{20} = \frac{5y - 4}{8} \\ cross \: multiplying \: lhs \: and \: rhs \\ 8(9y + 18) = 20(5y - 4) \\ 72y + 144 = 100y - 80 \\ 100y - 72y = 144 + 80 \\ 28y = 224 \\ y = \frac{224}{28} = \frac{32}{4} \\ y = 8
Hope it helps you ✌✌

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