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What is the solution of the linear equation y+n/m-n=y-n/m+n

User Upupming
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Final answer:

To find the solution of the linear equation y+n/m-n=y-n/m+n, simplify the equation, combine like terms, isolate y, and solve for y.

Step-by-step explanation:

To find the solution of the linear equation y+n/m-n=y-n/m+n, we can simplify and solve for y. First, let's clear the fractions by multiplying every term by the common denominator, which is m. This gives us my + n - mn= y - n + mn. We can further simplify the equation by combining like terms, which gives us my + n - mn - y + n - mn = 0.

Now, let's collect like terms on both sides by combining my - y and n + n. This gives us my - y + n + n - 2mn = 0.

Finally, we can isolate y by moving all other terms to the right side of the equation. This gives us my - y = 2mn - n - n. Factoring out y on the left side gives us y(m - 1) = 2mn - 2n. Finally, we can solve for y by dividing both sides by (m - 1). The solution is y = (2mn - 2n) / (m - 1).

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User James Ross
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