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This exercise will help you rearrange a linear equation to find the value of a given variable

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Rearrange the following equations to solve for $y$. Enter your answers as a fraction a/b.

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Use the following steps in both parts to solve for unknown:

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Part a)

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1. Bring the terms of given variable to one side by changing signs.

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Ex-  $\\var{a}y - \\var{c}y$ =  $\\var{h}y$

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2. Take all the constants to one side by changing signs

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Ex- $\\var{b}- \\var{d}$ =  $\\var{w}$

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3. Solving for y, we get-

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$\\ y $=  $\\var{f}$

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Part b)

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1. Bring the terms of fractions of variables  to one side by changing signs.

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Ex-  $\\frac{\\var{m}}{{y}} - \\frac{\\var{s}}{{y}} =  \\frac{\\var{o}}{{y}}$

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2. Take all the constants to one side by changing signs

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Ex- $\\var{t}- \\var{n}$ =  $\\var{u}$

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3. Solving for y, we get-

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$\\ y $=  $\\var{g}$

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For further help, check this video- 

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$\\var{a}y + \\var{d} = \\var{b} +\\var{c}y$

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$y=\\;$[[0]]

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$\\displaystyle \\frac{\\var{m}}{y}+\\var{n}=\\frac{\\var{s}}{y}+\\var{t}$

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$y=\\;$[[0]]

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