Solve for y x+sy=t

$x + s y = t$

Step 1

Subtract $x$ from both sides of the equation.

$s y = t - x$

Step 2

Divide each term in $s y = t - x$ by $s$ and simplify.

Divide each term in $s y = t - x$ by $s$ .

$\frac{s y}{s} = \frac{t}{s} + \frac{- x}{s}$

Simplify the left side.

Cancel the common factor of $s$ .

Cancel the common factor.

$\frac{s y}{s} = \frac{t}{s} + \frac{- x}{s}$

Divide $y$ by $1$ .

$y = \frac{t}{s} + \frac{- x}{s}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{t}{s} - \frac{x}{s}$