Solve for y. 4(y − 12) = 16 y = _____

Distribute 4: Distribute the 4 across the parentheses. We need to multiply 4 by each term inside the parentheses (y - 12). This gives us 4 * y - 4 * 12 = 16. 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 4y / 4 = 64 / 4. So, y = 16.

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Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

y

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4(y - 12) = 16

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y =

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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, $y = 16$ .