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Simplifying -5(y + 2) + -17 = -6(y + 7) + 2y Reorder the terms: -5(2 + y) + -17 = -6(y + 7) + 2y (2 * -5 + y * -5) + -17 = -6(y + 7) + 2y (-10 + -5y) + -17 = -6(y + 7) + 2y Reorder the terms: -10 + -17 + -5y = -6(y + 7) + 2y Combine like terms: -10 + -17 = -27 -27 + -5y = -6(y + 7) + 2y Reorder the terms: -27 + -5y = -6(7 + y) + 2y -27 + -5y = (7 * -6 + y * -6) + 2y -27 + -5y = (-42 + -6y) + 2y Combine like terms: -6y + 2y = -4y -27 + -5y = -42 + -4y Solving -27 + -5y = -42 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -27 + -5y + 4y = -42 + -4y + 4y Combine like terms: -5y + 4y = -1y -27 + -1y = -42 + -4y + 4y Combine like terms: -4y + 4y = 0 -27 + -1y = -42 + 0 -27 + -1y = -42 Add '27' to each side of the equation. -27 + 27 + -1y = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -1y = -42 + 27 -1y = -42 + 27 Combine like terms: -42 + 27 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15
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