Solve for y q*(a+y)=67y+93

$q \cdot (a + y) = 67 y + 93$

Simplify $q \cdot (a + y)$ .

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Rewrite.

$0 + 0 + q \cdot (a + y) = 67 y + 93$

Simplify by adding zeros.

$q \cdot (a + y) = 67 y + 93$

Apply the distributive property.

$q a + q y = 67 y + 93$

Subtract $67 y$ from both sides of the equation.

$q a + q y - 67 y = 93$

Subtract $q a$ from both sides of the equation.

$q y - 67 y = 93 - q a$

Factor $y$ out of $q y - 67 y$ .

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Factor $y$ out of $q y$ .

$y q - 67 y = 93 - q a$

Factor $y$ out of $- 67 y$ .

$y q + y \cdot - 67 = 93 - q a$

Factor $y$ out of $y q + y \cdot - 67$ .

$y (q - 67) = 93 - q a$

Divide each term in $y (q - 67) = 93 - q a$ by $q - 67$ and simplify.

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Divide each term in $y (q - 67) = 93 - q a$ by $q - 67$ .

$\frac{y (q - 67)}{q - 67} = \frac{93}{q - 67} + \frac{- q a}{q - 67}$

Simplify the left side.

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Cancel the common factor of $q - 67$ .

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Cancel the common factor.

$\frac{y (q - 67)}{q - 67} = \frac{93}{q - 67} + \frac{- q a}{q - 67}$

Divide $y$ by $1$ .

$y = \frac{93}{q - 67} + \frac{- q a}{q - 67}$

Simplify the right side.

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Combine the numerators over the common denominator.

$y = \frac{93 - q a}{q - 67}$

Solve for y q*(a+y)=67y+93

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