Solve. 2(4y-1)=22 Answer: y=

Distribute 2: Distribute the 2 across the terms inside the parentheses. We need to multiply 2 by each term inside the parentheses (4y and -1). 2 * 4y = 8y 2 * -1 = -2 So, the equation becomes 8y - 2 = 22.Add 2: Add 2 to both sides of the equation to isolate the term with the variable y. 8y - 2 + 2 = 22 + 2 This simplifies to 8y = 24.Divide by 8: Divide both sides of the equation by 8 to solve for y. 8y / 8 = 24 / 8 This simplifies to y = 3.

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Solve. $\newline$ $2(4 y-1)=22$ $\newline$ Answer: $y=$

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Math Problems

Grade 7

Solve two-step equations with parentheses

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Q. Solve.

\newline

2(4 y-1)=22

\newline

Answer:

y=

Distribute $2$ : Distribute the $2$ across the terms inside the parentheses. $\newline$ We need to multiply $2$ by each term inside the parentheses ( $4y$ and $-1$ ). $\newline$ $2 \times 4y = 8y$ $\newline$ $2 \times -1 = -2$ $\newline$ So, the equation becomes $8y - 2 = 22$ .
Add $2$ : Add $2$ to both sides of the equation to isolate the term with the variable $y$ . $\newline$ $8y - 2 + 2 = 22 + 2$ $\newline$ This simplifies to $8y = 24$ .
Divide by $8$ : Divide both sides of the equation by $8$ to solve for $y$ . $\frac{8y}{8} = \frac{24}{8}$ This simplifies to $y = 3$ .