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Click and drag like terms onto each other to simplify fully.

4y^(3)-1-5y-y^(2)-7+3y^(3)+y

Click and drag like terms onto each other to simplify fully. $\newline$ $4 y^{3}-1-5 y-y^{2}-7+3 y^{3}+y$

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Domain and range of functions

Full solution

Q. Click and drag like terms onto each other to simplify fully.

\newline

4 y^{3}-1-5 y-y^{2}-7+3 y^{3}+y

Identify Like Terms: First, we need to identify like terms in the expression. Like terms are terms that have the same variables raised to the same powers.
Combine Like Terms: The like terms in the expression are: $\newline$ - $4y^{3}$ and $3y^{3}$ because they both have $y$ raised to the power of $3$ . $\newline$ - $-5y$ and $y$ because they both have $y$ raised to the power of $1$ (or simply $y$ ). $\newline$ - $-1$ and $3y^{3}$ $0$ because they are both constant terms without any variables.
Simplify Expression: Now, we combine the like terms by adding or subtracting them: $\newline$ $4y^{3} + 3y^{3} = 7y^{3}$ $\newline$ $-5y + y = -4y$ $\newline$ $-1 - 7 = -8$
Combine Remaining Term: We also have the term $-y^{2}$ which does not have any like terms to combine with, so it remains as it is.
Final Simplified Expression: Putting all the combined terms together, we get the simplified expression: $7y^{3} - y^{2} - 4y - 8$
Count Number of Terms: Now we count the number of terms in the simplified expression. There are four terms: $\newline$ $1$ . $7y^{3}$ $\newline$ $2$ . $-y^{2}$ $\newline$ $3$ . $-4y$ $\newline$ $4$ . $-8$

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