Questions: 20y-4x=-8

20y-4x=-8
Transcript text: $20y-4x=-8$
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Solution

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Solution Steps

To solve the linear equation \(20y - 4x = -8\) for \(y\) in terms of \(x\), we can isolate \(y\) on one side of the equation. This involves moving the term involving \(x\) to the other side and then dividing by the coefficient of \(y\).

Step 1: Rewrite the Equation

Given the equation: \[ 20y - 4x = -8 \]

Step 2: Isolate the Term Involving \( y \)

Move the term involving \( x \) to the other side: \[ 20y = 4x - 8 \]

Step 3: Solve for \( y \)

Divide both sides by 20 to isolate \( y \): \[ y = \frac{4x - 8}{20} \]

Step 4: Simplify the Expression

Simplify the fraction: \[ y = \frac{4x}{20} - \frac{8}{20} \] \[ y = \frac{x}{5} - \frac{2}{5} \]

Final Answer

\[ \boxed{y = \frac{x}{5} - \frac{2}{5}} \]

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