Question

Simplify the expression 5/6 (-2y + 3) = ?

Answer 1

`-(5y)/(3)+(5)/(2)`

Explanation:

Given Problem;

`(5)/(6)\left(-2y+3\right)`

Solve;

`\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac`

`(5)/(6)\left(-2y+3\right)=(5)/(6)\left(-2y\right)+(5)/(6)\cdot \:3`

`=(5)/(6)\left(-2y\right)+(5)/(6)\cdot \:3`

`\mathrm{Simplify\;=(5)/(6)\left(-2y\right)+(5)/(6)\cdot \:3:}-(5y)/(3)+(5)/(2)`

`=-(5y)/(3)+(5)/(2)`

Hence, Answer =
`-(5y)/(3)+(5)/(2)`

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