SOLUTION: I have been struggling with this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank You!! Adding and Subt

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Question 129841This question is from textbook Algebra Structure and Method
: I have been struggling with this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank You!!
Adding and Subtracting Polynomials
Solve.
y(2-y)=6-(y^2+3y-4) This question is from textbook Algebra Structure and Method

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
y%282-y%29=6-%28y%5E2%2B3y-4%29

Distribute and remove parentheses, paying careful attention to signs:
2y-y%5E2=6-y%5E2-3y%2B4

Collect terms
2y-y%5E2=-y%5E2-3y%2B10

Add y%5E2%2B3y to both sides:
2y-y%5E2%2By%5E2%2B3y=10

Collect terms
5y=10

Divide by 5
y+=+2

Check:
2%282-2%29=6-%282%5E2%2B3%282%29-4%29
0=6-%284%2B6-4%29=6-6=0 Answer checks.