Solve. 3(3y-2)=21 Answer: y=

Distribute and Multiply: Distribute the 3 across the terms inside the parentheses. We need to multiply 3 by each term inside the parentheses (3y and -2). This gives us 3 * 3y - 3 * 2 = 21. Which simplifies to 9y - 6 = 21.Addition to Isolate: Add 6 to both sides of the equation to isolate the term with the variable y. We want to get y by itself on one side of the equation, so we need to get rid of the -6. Adding 6 to both sides gives us 9y - 6 + 6 = 21 + 6. Which simplifies to 9y = 27.Division to Solve: Divide both sides of the equation by 9 to solve for y. To isolate y, we divide both sides by 9. This gives us 9y / 9 = 27 / 9. Which simplifies to y = 3.

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve.

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3(3 y-2)=21

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Answer:

y=

Distribute and Multiply: Distribute the $3$ across the terms inside the parentheses. $\newline$ We need to multiply $3$ by each term inside the parentheses ( $3y$ and $-2$ ). $\newline$ This gives us $3 \times 3y - 3 \times 2 = 21$ . $\newline$ Which simplifies to $9y - 6 = 21$ .
Addition to Isolate: Add $6$ to both sides of the equation to isolate the term with the variable $y$ . We want to get $y$ by itself on one side of the equation, so we need to get rid of the $-6$ . Adding $6$ to both sides gives us $9y - 6 + 6 = 21 + 6$ . Which simplifies to $9y = 27$ .
Division to Solve: Divide both sides of the equation by $9$ to solve for $y$ . $\newline$ To isolate $y$ , we divide both sides by $9$ . $\newline$ This gives us $\frac{9y}{9} = \frac{27}{9}$ . $\newline$ Which simplifies to $y = 3$ .