sw=(s+y)(w-y)

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Solution for sw=(s+y)(w-y) equation:


Simplifying
sw = (s + y)(w + -1y)

Multiply (s + y) * (w + -1y)
sw = (s(w + -1y) + y(w + -1y))
sw = ((w * s + -1y * s) + y(w + -1y))
sw = ((sw + -1sy) + y(w + -1y))
sw = (sw + -1sy + (w * y + -1y * y))
sw = (sw + -1sy + (wy + -1y2))
sw = (sw + -1sy + wy + -1y2)

Add '-1sw' to each side of the equation.
sw + -1sw = sw + -1sy + wy + -1sw + -1y2

Combine like terms: sw + -1sw = 0
0 = sw + -1sy + wy + -1sw + -1y2

Reorder the terms:
0 = sw + -1sw + -1sy + wy + -1y2

Combine like terms: sw + -1sw = 0
0 = 0 + -1sy + wy + -1y2
0 = -1sy + wy + -1y2

Solving
0 = -1sy + wy + -1y2

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add 'sy' to each side of the equation.
0 + sy = -1sy + wy + sy + -1y2
Remove the zero:
sy = -1sy + wy + sy + -1y2

Reorder the terms:
sy = -1sy + sy + wy + -1y2

Combine like terms: -1sy + sy = 0
sy = 0 + wy + -1y2
sy = wy + -1y2

Divide each side by 'y'.
s = w + -1y

Simplifying
s = w + -1y

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