Solve each equation. -3(y-1)+2 y=4(y-3)

Name: Problem 77, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-04-21T18:10:43-08:00
Duration: 38 s
Channel: Amy Jiang
Description: Solve each equation. -3(y-1)+2 y=4(y-3)

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Key Concepts

Linear Equations

A linear equation is an equation that represents a straight line when graphed and involves variables raised only to the first power. Solving a linear equation involves finding the value of the variable that makes the equation true.

Distributive Property

The distributive property allows you to multiply a single term by each term inside a parenthesis. This property is essential for removing parentheses in an equation, making it easier to combine like terms.

Combining Like Terms

Combining like terms involves rewriting an expression so that similar terms (those that have the same variable raised to the same power) are added or subtracted together. This simplifies the equation and reduces it to a form where the variable can be isolated.

Isolating the Variable

Isolating the variable means using algebraic operations to obtain the variable on one side of the equation by itself. This usually involves adding, subtracting, multiplying, or dividing both sides of the equation by the same value.

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