Solve for y 35=1/2*(y(8+4))

$35 = \frac{1}{2} \cdot (y (8 + 4))$

Rewrite the equation as $\frac{1}{2} \cdot (y (8 + 4)) = 35$ .

$\frac{1}{2} \cdot (y (8 + 4)) = 35$

Multiply both sides of the equation by $\frac{1}{\frac{1}{2} \cdot (8 + 4)}$ .

$\frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot \frac{1}{2} \cdot (y (8 + 4)) = \frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$

Simplify both sides of the equation.

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Simplify $\frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot \frac{1}{2} \cdot (y (8 + 4))$ .

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Add $8$ and $4$ .

$\frac{1}{\frac{1}{2} \cdot 12} \cdot \frac{1}{2} \cdot (y (8 + 4)) = \frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$

Combine fractions.

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Combine $\frac{1}{2}$ and $12$ .

$\frac{1}{\frac{12}{2}} \cdot \frac{1}{2} \cdot (y (8 + 4)) = \frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$

Divide $12$ by $2$ .

$\frac{1}{6} \cdot \frac{1}{2} \cdot (y (8 + 4)) = \frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$

Multiply $\frac{1}{6} \cdot \frac{1}{2}$ .

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Multiply $\frac{1}{6}$ and $\frac{1}{2}$ .

$\frac{1}{6 \cdot 2} \cdot (y (8 + 4)) = \frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$

Multiply $6$ by $2$ .

$\frac{1}{12} \cdot (y (8 + 4)) = \frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$

Add $8$ and $4$ .

$\frac{1}{12} \cdot (y \cdot 12) = \frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$

Cancel the common factor of $12$ .

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Factor $12$ out of $y \cdot 12$ .

$\frac{1}{12} \cdot (12 \cdot y) = \frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$

Cancel the common factor.

$\frac{1}{12} \cdot (12 \cdot y) = \frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$

Rewrite the expression.

$y = \frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$

Simplify $\frac{1}{\frac{1}{2} \cdot (8 + 4)} \cdot 35$ .

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Add $8$ and $4$ .

$y = \frac{1}{\frac{1}{2} \cdot 12} \cdot 35$

Combine fractions.

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Combine $\frac{1}{2}$ and $12$ .

$y = \frac{1}{\frac{12}{2}} \cdot 35$

Divide $12$ by $2$ .

$y = \frac{1}{6} \cdot 35$

Combine $\frac{1}{6}$ and $35$ .

$y = \frac{35}{6}$

The result can be shown in multiple forms.

Exact Form:

$y = \frac{35}{6}$

Decimal Form:

$y = 5.8\overline{3}$

Mixed Number Form:

$y = 5 \frac{5}{6}$

Solve for y 35=1/2*(y(8+4))

Solving MATH problems