The value of y for the given equation is y = [tex]\frac{x}{3}[/tex] + [tex]\frac{10}{3}[/tex].
What is a linear equation?
A linear equation is an equation where the maximum power of the variable is one. A linear equation may contain more than one variables. However, the highest power of any variable must be one.
Here, a linear equation is given that contains two variables x and y.
Therefore, 6y - 2x = 20
⇒ 6y = 2x + 20
⇒ y = (2x + 20)/6
⇒ y = [tex]\frac{2x}{6}[/tex] + [tex]\frac{20}{6}[/tex]
⇒ y = [tex]\frac{x}{3}[/tex] + [tex]\frac{10}{3}[/tex]
Hence, the value of y is [tex](\frac{x}{3}+\frac{10}{3})[/tex]
Learn more about a linear equation here: https://brainly.com/question/21835898
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