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Simplifying -15y + 15 + 20y + -35 = 4y + -12 + 9 Reorder the terms: 15 + -35 + -15y + 20y = 4y + -12 + 9 Combine like terms: 15 + -35 = -20 -20 + -15y + 20y = 4y + -12 + 9 Combine like terms: -15y + 20y = 5y -20 + 5y = 4y + -12 + 9 Reorder the terms: -20 + 5y = -12 + 9 + 4y Combine like terms: -12 + 9 = -3 -20 + 5y = -3 + 4y Solving -20 + 5y = -3 + 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. -20 + 5y + -4y = -3 + 4y + -4y Combine like terms: 5y + -4y = 1y -20 + 1y = -3 + 4y + -4y Combine like terms: 4y + -4y = 0 -20 + 1y = -3 + 0 -20 + 1y = -3 Add '20' to each side of the equation. -20 + 20 + 1y = -3 + 20 Combine like terms: -20 + 20 = 0 0 + 1y = -3 + 20 1y = -3 + 20 Combine like terms: -3 + 20 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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