(y + 3) (y – 3) – y (y + 5) = 6, then y =
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Step-by-step explanation:
( y + 3 ) ( y - 3 ) - y (y + 5 ) = 6
⇒ y² - 3² - y² - 5y = 6 ( ∵ (a +b ) (a - b) = a²- b² ; - × + = - )
⇒ - 5y - 9 = 6 ( ∵ y²- y² = 0 )
⇒ - 5y = 6 + 9 ( ∵transposing )
⇒ - 5y = 15
⇒ y = 15 / (- 5 ) ( ∵ transposing )
⇒ y = - 3 is theanswer.
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