Solve for y. 12y - 20y = 16 y = ____

Combine like terms: Combine like terms on the left side of the equation. We have two terms that involve y, which are 12y and -20y. To combine them, we add the coefficients (12 and -20). Calculation: 12y - 20y = (12 - 20)y = -8yIsolate variable y: Isolate the variable y on one side of the equation. To isolate y, we need to divide both sides of the equation by the coefficient of y, which is -8. Calculation: -8y = 16 | ÷(-8) y = 16 / (-8)Perform division: Perform the division to solve for y. Calculation: y = 16 / (-8) = -2

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Math Problems

Grade 7

Solve equations involving like terms

Full solution

Q. Solve for

y

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12y - 20y = 16

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y =

Combine like terms: Combine like terms on the left side of the equation. $\newline$ We have two terms that involve $y$ , which are $12y$ and $-20y$ . To combine them, we add the coefficients ( $12$ and $-20$ ). $\newline$ Calculation: $12y - 20y = (12 - 20)y = -8y$
Isolate variable $y$ : Isolate the variable $y$ on one side of the equation. $\newline$ To isolate $y$ , we need to divide both sides of the equation by the coefficient of $y$ , which is $-8$ . $\newline$ Calculation: $-8y = 16 \,| \div(-8)$ $\newline$ $y = \frac{16}{-8}$
Perform division: Perform the division to solve for $y$ . $\newline$ Calculation: $y = \frac{16}{(-8)} = -2$