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Solve for $y$ . $\newline$ $2(y + 10) = 10$ $\newline$ $y =$ _____

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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 $y$ . $\newline$ $\frac{2y}{2} = \frac{-10}{2}$ $\newline$ $y = -5$

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