Final answer:
Distribute each term inside the parentheses of the expression -3(4y-9)+2(2y+7) by the number just outside the parentheses. After doing so, you should have -12y + 27 + 4y + 14. Next, combine like terms to simplify the expression which finally results in -8y + 41.
Step-by-step explanation:
Initially, we distribute in both parentheses which means multiply each term inside the parentheses by the number just outside the parentheses. -3 times 4y gives -12y and -3 times -9 gives +27. Similarly, 2 times 2y gives 4y and 2 times 7 gives +14. So, it will become -12y + 27 + 4y + 14. Combining like terms (-12y and + 4y are like terms, and 27 and 14 are like terms), we get -8y + 41.
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