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Like terms in algebra are terms that contain the same variable raised to the same power. This is why they can be added or subtracted directly. For instance, in the expression \(18y - 20y\), both \(18y\) and \(-20y\) are like terms because they contain the variable \(y\). Unlike terms such as \(3x\) and \(4y\), which have different variables, cannot be combined directly.
Identifying like terms is crucial when simplifying algebraic expressions. It allows us to streamline equations by reducing them to their simplest form, making them easier to solve or evaluate. Always ensure that the variables of the like terms match completely, including any exponents.

Variable terms are parts of an algebraic expression that include a variable, like the \(y\) in \(18y\) and \(-20y\). These terms are essential because they represent values that can change, unlike constant terms that lack variables. In an equation * Variable terms tell us how the expression will change as the variables change.
* They help represent real-world situations that involve unknown quantities, like distances, time, or other varying measurable factors.
Distinguishing between variable terms and constants helps in realizing how to manipulate and solve equations effectively. Variable terms are the backbone of algebraic expressions and require a clear understanding for accurate simplification.

Combining like terms is a fundamental step in simplifying algebraic expressions. It involves adding or subtracting terms that have the same variables and exponents. Consider our example, \(18y - 20y\). Since both terms have the same variable \(y\), they can be combined:
* Identify the coefficients of the like terms, which are 18 and -20 in this case.
* Perform the operation on the coefficients while maintaining the same variable, resulting in: \(18 - 20 = -2\).
This simplifies the expression to \(-2y\).
Combining like terms not only simplifies the expression but also makes it easier to understand and work with. Always remember to check for terms with identical variables and powers, and combine them to achieve a simpler form of the expression.