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Simplifying 17 = 3(y + 1) + -4y Reorder the terms: 17 = 3(1 + y) + -4y 17 = (1 * 3 + y * 3) + -4y 17 = (3 + 3y) + -4y Combine like terms: 3y + -4y = -1y 17 = 3 + -1y Solving 17 = 3 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 17 + y = 3 + -1y + y Combine like terms: -1y + y = 0 17 + y = 3 + 0 17 + y = 3 Add '-17' to each side of the equation. 17 + -17 + y = 3 + -17 Combine like terms: 17 + -17 = 0 0 + y = 3 + -17 y = 3 + -17 Combine like terms: 3 + -17 = -14 y = -14 Simplifying y = -14
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