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In Mathematics / Middle School | 2014-04-13

Solve and check:

\[ 14 = \frac{2}{3}(9y - 15) \]

Asked by tdeaster73

Answer (2)

14 = 3 2 ​ ( 9 y − 15 ) 14 =  3 1 2 ​ ∗  9 3 y −  1 5 5 ∗  3 1 2 ​ 14 = 6 y − 10 6 y = 14 + 10 6 y = 24 / : 6 y = 4

Answered by Lilith | 2024-06-10

To solve the equation 14 = 3 2 ​ ( 9 y − 15 ) , we eliminate the fraction, distribute, isolate the variable, and solve, finding y = 4 . Checking the solution confirms it is correct. The steps to solve included multiplying to eliminate the fraction and then isolating y through addition and division.
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Answered by Lilith | 2024-09-03