Solve for y w=6+(3xy)/75

$w = 6 + \frac{3 x y}{75}$

Step 1

Rewrite the equation as $6 + \frac{3 x y}{75} = w$ .

$6 + \frac{3 x y}{75} = w$

Step 2

Cancel the common factor of $3$ and $75$ .

Factor $3$ out of $3 x y$ .

$6 + \frac{3 (x y)}{75} = w$

Cancel the common factors.

Factor $3$ out of $75$ .

$6 + \frac{3 (x y)}{3 \cdot 25} = w$

Cancel the common factor.

$6 + \frac{3 (x y)}{3 \cdot 25} = w$

Rewrite the expression.

$6 + \frac{x y}{25} = w$

Step 3

Subtract $6$ from both sides of the equation.

$\frac{x y}{25} = w - 6$

Step 4

Multiply both sides of the equation by $25$ .

$25 \frac{x y}{25} = 25 (w - 6)$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $25$ .

Cancel the common factor.

$25 \frac{x y}{25} = 25 (w - 6)$

Rewrite the expression.

$x y = 25 (w - 6)$

Simplify the right side.

Simplify $25 (w - 6)$ .

Apply the distributive property.

$x y = 25 w + 25 \cdot - 6$

Multiply $25$ by $- 6$ .

$x y = 25 w - 150$

Step 6

Divide each term in $x y = 25 w - 150$ by $x$ and simplify.

Divide each term in $x y = 25 w - 150$ by $x$ .

$\frac{x y}{x} = \frac{25 w}{x} + \frac{- 150}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y}{x} = \frac{25 w}{x} + \frac{- 150}{x}$

Divide $y$ by $1$ .

$y = \frac{25 w}{x} + \frac{- 150}{x}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{25 w}{x} - \frac{150}{x}$

Solve for y w=6+(3xy)/75

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