How do you solve #(2y) / (2y+6) + (9y12) / (3y+9) = (9y+11) / (y+3)#?
Some of these fractions can be simplified.
And this is exactly the solution that was forbidden.
Answer : no sensible solution.
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To solve the equation (2y) / (2y+6) + (9y12) / (3y+9) = (9y+11) / (y+3), we can follow these steps:
 Simplify the expressions on both sides of the equation.
 Find a common denominator for all the fractions.
 Combine the fractions on both sides of the equation.
 Solve for y by isolating the variable on one side of the equation.
 Check the solution by substituting the value of y back into the original equation.
Let's go through each step in detail:

Simplify the expressions:
 The expression (2y) / (2y+6) can be simplified to y / (y+3).
 The expression (9y12) / (3y+9) can be simplified to 3(y4) / 3(y+3).
 The expression (9y+11) / (y+3) remains as it is.

Find a common denominator:
 The common denominator for all the fractions is (y+3)(y+3).

Combine the fractions:
 The equation becomes y / (y+3) + 3(y4) / 3(y+3) = (9y+11) / (y+3).

Solve for y:
 Multiply both sides of the equation by (y+3) to eliminate the denominators.
 Simplify the equation and solve for y.

Check the solution:
 Substitute the value of y back into the original equation to ensure it satisfies the equation.
Please let me know if you need further clarification or assistance with any of the steps.
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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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