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# Algebra

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Solve for y if 9*y = 3*6*27*4/(81*2)

Aug 31, 2022

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Rewritten in latex, this is $$9y = 3\cdot 6\cdot 27\cdot \frac4{81\cdot 2}$$

Dividing both sides by $$9$$ we get $$y = 3\cdot 6\cdot 3\cdot \frac4{81\cdot 2}$$. Now it's just math.

$$6=2\cdot3$$, so we can rewrite this as $$y = 3\cdot 2\cdot 3\cdot 3\cdot \frac4{81\cdot 2}$$

The three $$3$$'s can cancel out with the $$81$$ to get $$y = 2\cdot\frac4{3\cdot 2}$$.

The $$2$$ and the $$\frac12$$ cancel until we get $$y= \frac43$$

Sep 3, 2022