Solve for y t=|14y|

Math
t=|14y|
Rewrite the equation as |14y|=t.
|14y|=t
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
14y=±t
Set up the positive portion of the ± solution.
14y=t
Divide each term by 14 and simplify.
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Divide each term in 14y=t by 14.
14y14=t14
Cancel the common factor of 14.
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Cancel the common factor.
14y14=t14
Divide y by 1.
y=t14
y=t14
y=t14
Set up the negative portion of the ± solution.
14y=-t
Divide each term by 14 and simplify.
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Divide each term in 14y=-(t) by 14.
14y14=-t14
Cancel the common factor of 14.
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Cancel the common factor.
14y14=-t14
Divide y by 1.
y=-t14
y=-t14
y=-t14
The solution to the equation includes both the positive and negative portions of the solution.
y=t14
y=-t14
Solve for y t=|14y|

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