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Algebra Help Involving Square Roots and Complex Numbers

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Could you please help me with these questions by showing you're work so that I can understand how to move forward with my assignment.
1. Solve: √y+1 - 6 =2 (Square root of y+1-6=2, only the y+6 is under the square root sign)
2. Solve the equation: √w^2-12 +7 = w+5 (Only the w^2-12 is under the square root sign)
3. Solve √2x+5 - √x+6 = 1 ( square root of 2x+5 - square root x+6 =1)
4. Solve the equation √2y+1 - 1 =6 ( square root of 2y+1 - 1 = 6, only 2y+1 is under the square root
5. Multiply -1/3i (24-6i)
6. Multiply (-8-9i)^2
7. Solve the equation using the square root property 11x^2=80

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Solution Summary

This solution explains the answers to the given algebra problems involving square roots and complex numbers.

Solution Preview

Please see the attached file for the complete solution to the given problems.
1. Solve: √y+1 - 6 =2 (Square root of y+1-6=2, only the y+6 is under the square root sign
Solution: We eliminate the square root by squaring both sides of the equation:
(Please see the attached file)

2. Solve the equation: √w^2-12 ...

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