To solve for $y$ in the equation:

$2y = 5x + 4$

Step 1: Isolate $y$

Divide both sides of the equation by 2:

$y = \frac{5x + 4}{2}$

Final Answer:

$y = \frac{5}{2}x + 2$

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Here are 5 related questions for practice:

1. Solve for $y$ in $3y - 6 = 9x$.
2. Express $x$ in terms of $y$ if $2y = 5x + 4$.
3. Find the slope and y-intercept of $y = \frac{5}{2}x + 2$.
4. Convert $y = \frac{5}{2}x + 2$ into standard form $Ax + By = C$.
5. If $x = 4$, find the value of $y$ in $y = \frac{5}{2}x + 2$.

Tip:

The equation $y = mx + b$ is in slope-intercept form, where $m$ is the slope and $b$ is the y-intercept.