Solve for y 14=22-2/3y

$14 = 22 - \frac{2}{3} y$

Rewrite the equation as $22 - \frac{2}{3} y = 14$ .

$22 - \frac{2}{3} y = 14$

Simplify each term.

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Combine $y$ and $\frac{2}{3}$ .

$22 - \frac{y \cdot 2}{3} = 14$

Move $2$ to the left of $y$ .

$22 - \frac{2 y}{3} = 14$

Move all terms not containing $y$ to the right side of the equation.

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Subtract $22$ from both sides of the equation.

$- \frac{2 y}{3} = 14 - 22$

Subtract $22$ from $14$ .

$- \frac{2 y}{3} = - 8$

Multiply both sides of the equation by $- \frac{3}{2}$ .

$- \frac{3}{2} \cdot (- \frac{2 y}{3}) = - \frac{3}{2} \cdot - 8$

Simplify both sides of the equation.

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Simplify $- \frac{3}{2} \cdot (- \frac{2 y}{3})$ .

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Cancel the common factor of $3$ .

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Move the leading negative in $- \frac{3}{2}$ into the numerator.

$\frac{- 3}{2} \cdot (- \frac{2 y}{3}) = - \frac{3}{2} \cdot - 8$

Move the leading negative in $- \frac{2 y}{3}$ into the numerator.

$\frac{- 3}{2} \cdot \frac{- 2 y}{3} = - \frac{3}{2} \cdot - 8$

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{2} \cdot \frac{- 2 y}{3} = - \frac{3}{2} \cdot - 8$

Cancel the common factor.

$\frac{3 \cdot - 1}{2} \cdot \frac{- 2 y}{3} = - \frac{3}{2} \cdot - 8$

Rewrite the expression.

$\frac{- 1}{2} \cdot (- 2 y) = - \frac{3}{2} \cdot - 8$

Cancel the common factor of $2$ .

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Factor $2$ out of $- 2 y$ .

$\frac{- 1}{2} \cdot (2 (- y)) = - \frac{3}{2} \cdot - 8$

Cancel the common factor.

$\frac{- 1}{2} \cdot (2 (- y)) = - \frac{3}{2} \cdot - 8$

Rewrite the expression.

$- 1 \cdot (- y) = - \frac{3}{2} \cdot - 8$

Multiply.

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Multiply $- 1$ by $- 1$ .

$1 \cdot y = - \frac{3}{2} \cdot - 8$

Multiply $y$ by $1$ .

$y = - \frac{3}{2} \cdot - 8$

Simplify $- \frac{3}{2} \cdot - 8$ .

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Cancel the common factor of $2$ .

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Move the leading negative in $- \frac{3}{2}$ into the numerator.

$y = \frac{- 3}{2} \cdot - 8$

Factor $2$ out of $- 8$ .

$y = \frac{- 3}{2} \cdot (2 (- 4))$

Cancel the common factor.

$y = \frac{- 3}{2} \cdot (2 \cdot - 4)$

Rewrite the expression.

$y = - 3 \cdot - 4$

Multiply $- 3$ by $- 4$ .

$y = 12$

Solve for y 14=22-2/3y

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