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Simplifying -17 = 7(y + -5) + 2y Reorder the terms: -17 = 7(-5 + y) + 2y -17 = (-5 * 7 + y * 7) + 2y -17 = (-35 + 7y) + 2y Combine like terms: 7y + 2y = 9y -17 = -35 + 9y Solving -17 = -35 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -17 + -9y = -35 + 9y + -9y Combine like terms: 9y + -9y = 0 -17 + -9y = -35 + 0 -17 + -9y = -35 Add '17' to each side of the equation. -17 + 17 + -9y = -35 + 17 Combine like terms: -17 + 17 = 0 0 + -9y = -35 + 17 -9y = -35 + 17 Combine like terms: -35 + 17 = -18 -9y = -18 Divide each side by '-9'. y = 2 Simplifying y = 2
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