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Solve for $y$ . $\newline$ $12y - 20y = 16$ $\newline$ $y =$ __

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Solve equations involving like terms

Full solution

Q. Solve for

y

.

\newline

12y - 20y = 16

\newline

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: $y = \frac{16}{(-8)} = -2$

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