ry+sy=tfory

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Solution for ry+sy=tfory equation: 


Simplifying
ry + sy = tfory

Solving
ry + sy = forty

Solving for variable 'r'.

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

Add '-1forty' to each side of the equation.
ry + -1forty + sy = forty + -1forty

Reorder the terms:
-1forty + ry + sy = forty + -1forty

Combine like terms: forty + -1forty = 0
-1forty + ry + sy = 0

Add '-1sy' to each side of the equation.
-1forty + ry + sy + -1sy = 0 + -1sy

Combine like terms: sy + -1sy = 0
-1forty + ry + 0 = 0 + -1sy
-1forty + ry = 0 + -1sy
Remove the zero:
-1forty + ry = -1sy

Combine like terms: -1sy + sy = 0
-1forty + ry + sy = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1fort + r + s) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

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

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1fort + r + s)' equal to zero and attempt to solve:

Simplifying
-1fort + r + s = 0

Solving
-1fort + r + s = 0

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

Add '-1s' to each side of the equation.
-1fort + r + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
-1fort + r + 0 = 0 + -1s
-1fort + r = 0 + -1s
Remove the zero:
-1fort + r = -1s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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