Question

Solve each equation. $$ 3(y-4)+2 y=18 $$

   Solve each equation.
$$
3(y-4)+2 y=18
$$

Precalculus

Raymond A. Barnett,… 7th Edition

Chapter 1, Problem 12

Instant Answer

Solved by Expert Erika Bustos

07/17/2021

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Solve each equation. $$ 3(y-4)+2 y=18 $$

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Key Concepts

Isolating the Variable

Isolating the variable means rearranging an equation so that the variable of interest is on one side of the equation by itself. This typically involves using inverse operations such as addition, subtraction, multiplication, and division. This process is central to solving equations, as it leads to finding the value of the variable.

Combining Like Terms

Combining like terms involves simplifying an expression by adding or subtracting terms that have the same variables raised to the same power. This step is essential in reducing the complexity of an equation and is a key process in solving linear equations.

Linear Equations

Linear equations are mathematical statements involving variables raised only to the first power. Solving them involves finding the value of the variable that makes the equation true. These equations are foundational in algebra and are used to model many real-world situations by representing constant rates of change.

Distributive Property

The distributive property allows you to multiply a single term by each term within parentheses, simplifying expressions. This property is crucial for expanding expressions and making it easier to combine like terms in equations.

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