Solve and simplify:

$3 (x + 5 y) - 6 x - 8 y$

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Solution

$3 (x + 5 y) - 6 x - 8 y$

$= 3 x + 15 y - 6 x - 8 y$
(Removing the brackets)

$= (3 x - 6 x) + (15 y - 8 y)$
(Combining the like terms)

$= - 3 x + 7 y$

$= 7 y - 3 x$
(Rearranging)

$7 y - 3 x$ cannot be simplified further as the two terms in it are unllike terms.

$∴$ The most simplified form of the $3 (x + 5 y) - 6 x - 8 y$ is $7 y - 3 x - ------ -$ .

Therefore, 7y-3x is the correct answer.

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