Express your solution as an integer, a simplified fraction, or a de $$ \frac{1}{6} y-\frac{1}{3}=-\frac{3}{2} y+\frac{5}{6} $$

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Multiply both sides of the equation by $$6$$ to eliminate the fractions:
$$
6\left(\frac{1}{6}y - \frac{1}{3}\right) = 6\left(-\frac{3}{2}y + \frac{5}{6}\right)
$$
Simplify each term:
$$
y - 2 = -9y + 5
$$

Add $$9y$$ to both sides:
$$
y + 9y - 2 = 5 \quad \Longrightarrow \quad 10y - 2 = 5
$$

Add $$2$$ to both sides:
$$
10y = 7
$$

Divide both sides by $$10$$:
$$
y = \frac{7}{10}
$$
$$ y = \frac{7}{10} $$

Express your solution as an integer, a simplified fraction, or a de

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