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Simplifying 7(y + 4) = 2y + -17 Reorder the terms: 7(4 + y) = 2y + -17 (4 * 7 + y * 7) = 2y + -17 (28 + 7y) = 2y + -17 Reorder the terms: 28 + 7y = -17 + 2y Solving 28 + 7y = -17 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 28 + 7y + -2y = -17 + 2y + -2y Combine like terms: 7y + -2y = 5y 28 + 5y = -17 + 2y + -2y Combine like terms: 2y + -2y = 0 28 + 5y = -17 + 0 28 + 5y = -17 Add '-28' to each side of the equation. 28 + -28 + 5y = -17 + -28 Combine like terms: 28 + -28 = 0 0 + 5y = -17 + -28 5y = -17 + -28 Combine like terms: -17 + -28 = -45 5y = -45 Divide each side by '5'. y = -9 Simplifying y = -9
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