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Solve for $y$ . $\newline$ $4(y - 12) = 16$ $\newline$ $y =$ $\_\_\_\_\_$

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Solve two-step equations with parentheses

Full solution

Q. Solve for

y

.

\newline

4(y - 12) = 16

\newline

y =

\_\_\_\_\_

Distribute $4$ : Distribute the $4$ across the parentheses. $\newline$ We need to multiply $4$ by each term inside the parentheses $(y - 12)$ . $\newline$ This gives us $4 \times y - 4 \times 12 = 16$ . $\newline$ So, the equation becomes $4y - 48 = 16$ .
Add $48$ : Add $48$ 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 undo the subtraction of $48$ . Adding $48$ to both sides gives us $4y - 48 + 48 = 16 + 48$ . This simplifies to $4y = 64$ .
Divide by $4$ : Divide both sides of the equation by $4$ to solve for $y$ . To get $y$ by itself, we divide both sides of the equation by $4$ . This gives us $\frac{4y}{4} = \frac{64}{4}$ . So, $y = 16$ .

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