How do you solve #y/(y3) +6/(y+3)= 1#?
The solution is
First of all, turn the left member to a single fraction:
So, the left member (and the whole equation) become
Multiply both members for the denominator:
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To solve the equation y/(y3) + 6/(y+3) = 1, we can follow these steps:
 Multiply both sides of the equation by (y3)(y+3) to eliminate the denominators.
 Simplify the equation by distributing and combining like terms.
 Rearrange the equation to isolate the variable y.
 Solve for y by applying the appropriate algebraic operations.
 Check the solution by substituting the value of y back into the original equation to ensure it satisfies the equation.
The detailed solution is as follows:

Multiply both sides by (y3)(y+3): y(y+3) + 6(y3) = (y3)(y+3)

Simplify the equation: y^2 + 3y + 6y  18 = y^2  9

Rearrange the equation: y^2 + 9y  18 = y^2  9

Cancel out the y^2 terms: 9y  18 = 9

Add 18 to both sides: 9y = 9

Divide both sides by 9: y = 1
Therefore, the solution to the equation y/(y3) + 6/(y+3) = 1 is y = 1.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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