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4(2y + 7) = -4
Step1: Divide both sides by 4
To isolate the term with \( y \), we divide both sides of the equation \( 4(2y + 7) = -4 \) by 4. This gives us \( \frac{4(2y + 7)}{4} = \frac{-4}{4} \), which simplifies to \( 2y + 7 = -1 \).
Step2: Subtract 7 from both sides
Next, we want to get the term with \( y \) alone. So we subtract 7 from both sides of the equation \( 2y + 7 = -1 \). That is \( 2y + 7 - 7 = -1 - 7 \), which simplifies to \( 2y = -8 \).
Step3: Divide both sides by 2
Finally, to solve for \( y \), we divide both sides of the equation \( 2y = -8 \) by 2. So \( \frac{2y}{2} = \frac{-8}{2} \), which gives \( y = -4 \).
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\( y = -4 \)