To solve the equation \( 7x + 14y = -16 \) for \( y \) in terms of \( x \), we can follow these steps:
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Isolate the term with \( y \): \[ 14y = -16 - 7x \]
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Divide every term by 14 to solve for \( y \): \[ y = \frac{-16 - 7x}{14} \]
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Simplify the expression: \[ y = -\frac{16}{14} - \frac{7}{14}x = -\frac{8}{7} - \frac{1}{2}x \]
So, the equation in terms of \( y \) is: \[ y = -\frac{1}{2}x - \frac{8}{7} \]
If you need the equation in a different form or have specific values for \( x \) or \( y \), please let me know!