Solve. 3(2y+3)=39 Answer: y=

Distribute Terms: Distribute the 3 across the terms inside the parentheses. We need to apply the distributive property, which states that a(b + c) = ab + ac. In this case, we have 3(2y) + 3(3). This gives us 6y + 9.Set Up Equation: Set up the equation with the distributed terms. The equation now looks like this: 6y + 9 = 39.Subtract to Isolate: Subtract 9 from 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 subtract 9 from both sides to undo the addition of 9. 6y + 9 - 9 = 39 - 9, which simplifies to 6y = 30.Divide to Solve: Divide both sides of the equation by 6 to solve for y. To isolate y, we divide both sides of the equation by 6, the coefficient of y. 6y / 6 = 30 / 6, which simplifies to y = 5.

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve.

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3(2 y+3)=39

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Answer:

y=

Distribute Terms: Distribute the $3$ across the terms inside the parentheses. $\newline$ We need to apply the distributive property, which states that $a(b + c) = ab + ac$ . In this case, we have $3(2y) + 3(3)$ . $\newline$ This gives us $6y + 9$ .
Set Up Equation: Set up the equation with the distributed terms. $\newline$ The equation now looks like this: $6y + 9 = 39$ .
Subtract to Isolate: Subtract $9$ from 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 subtract $9$ from both sides to undo the addition of $9$ . $6y + 9 - 9 = 39 - 9$ , which simplifies to $6y = 30$ .
Divide to Solve: Divide both sides of the equation by $6$ to solve for $y$ . To isolate $y$ , we divide both sides of the equation by $6$ , the coefficient of $y$ . $\frac{6y}{6} = \frac{30}{6}$ , which simplifies to $y = 5$ .