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Maths class 8 0.5y+5y/6 =21 +0.75y​

Answer»

Given \: simple \: equation :\\0.5y + \frac{5y}{6} = 21 + 0.75y

/* MULTIPLY each TERM by 6 , we get */

\implies 6 \times 0.5y + 6\times \frac{5y}{6} = 6 \times 21 + 6 \times 0.75y

\implies 3y + 5y = 126 + 4.5y

\implies 8y = 126 + 4.5y

/* SUBTRACT bothsides by 4.5y , we get */

\implies 8y - 4.5y  = 126 + 4.5y - 4.5y

\implies 3.5y = 126

/* DIVIDE each term by 3.5, we get */

\implies \frac{3.5y}{3.5} = \frac{126}{3.5}

\implies y = 36

THEREFORE.,

\red { Value \: of \: y } \green { = 36}

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