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