Simplify the expression \(\frac{1}{3}(7y - 2) + \frac{1}{9}(6y + 10)\).
Answer (3)
3 1 ( 7 y − 2 ) + 9 1 ( 6 y + 10 ) = 3 7 y − 3 2 + 9 6 y + 9 10 = 3 7 y − 9 6 + 3 2 y + 9 10 = = 3 9 y + 9 4 = 3 y + 9 4
7y/3-2/3+2y/3+10/9 3y=4/9 y=4/27
The simplified expression for 3 1 ( 7 y − 2 ) + 9 1 ( 6 y + 10 ) is 3 y + 9 4 . This was achieved by distributing, combining like terms, and simplifying the result. In the end, we obtained a final answer of 3 y + 9 4 .
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