Question

y÷5+((y-3)÷2)=7. Simplify

Answer 1

Answer:

$y \: \div 5 + ((y - 3) \div 2) = 7 \\ \\ write \: as \: fraction \\ \\ \frac{y}{5} + \frac{y - 3}{2} = 7 \\ \\ lcm = 10 \\ \\ multiply \: both \: sides \: by \: 10 \\ \\ 10 \times \frac{y}{5} + 10 \times \frac{y - 3}{2} = 10 \times 7 \\ \\ 2 y + 5(y - 3)= 70 \\ \\ 2y + 5y - 15 = 70 \\ \\ 7y - 15 = 70 \\ \\ 7y = 70 + 15 \\ \\ 7y = 85 \\ \\ y = \frac{85}{7} \\ \\ y = 12.14$


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