Solve for y. 2(y + 10) = 10 y = _____

Distribute and Multiply: Distribute the 2 to both terms inside the parentheses. Multiply 2 by each term inside the parentheses (y + 10). 2 * y + 2 * 10 = 10 2y + 20 = 10Subtract to Isolate: Subtract 20 from both sides to isolate the term with the variable y. Subtract 20 from both sides to move the constant term to the right side of the equation. 2y + 20 - 20 = 10 - 20 2y = -10Divide to Solve: Divide both sides by 2 to solve for y. Divide both sides by 2 to find the value of y. 2y / 2 = -10 / 2 y = -5

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve for

y

\newline

2(y + 10) = 10

\newline

y =

_____

Distribute and Multiply: Distribute the $2$ to both terms inside the parentheses. $\newline$ Multiply $2$ by each term inside the parentheses $(y + 10)$ . $\newline$ $2 \times y + 2 \times 10 = 10$ $\newline$ $2y + 20 = 10$
Subtract to Isolate: Subtract $20$ from both sides to isolate the term with the variable $y$ . $\newline$ Subtract $20$ from both sides to move the constant term to the right side of the equation. $\newline$ $2y + 20 - 20 = 10 - 20$ $\newline$ $2y = -10$
Divide to Solve: Divide both sides by $2$ to solve for $y$ . $\newline$ Divide both sides by $2$ to find the value of $y$ . $\newline$ $\frac{2y}{2} = \frac{-10}{2}$ $\newline$ $y = -5$