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question solve for y. express your answer as a proper or improper fract…

Question

question
solve for y. express your answer as a proper or improper fraction in simplest terms.
$-dfrac{1}{9}y + dfrac{5}{6} = dfrac{1}{2}$

Explanation:

Step1: Subtract $\frac{5}{6}$ from both sides

$-\frac{1}{9}y+\frac{5}{6}-\frac{5}{6}=\frac{1}{2}-\frac{5}{6}$
Simplify: $-\frac{1}{9}y=\frac{3 - 5}{6}=-\frac{2}{6}=-\frac{1}{3}$

Step2: Multiply both sides by -9

$-\frac{1}{9}y\times(-9)=-\frac{1}{3}\times(-9)$
Simplify: $y = 3$

Answer:

$y = 3$