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Simplifying -20y + -20 + 19y = -3y + 2(3y + 20) Reorder the terms: -20 + -20y + 19y = -3y + 2(3y + 20) Combine like terms: -20y + 19y = -1y -20 + -1y = -3y + 2(3y + 20) Reorder the terms: -20 + -1y = -3y + 2(20 + 3y) -20 + -1y = -3y + (20 * 2 + 3y * 2) -20 + -1y = -3y + (40 + 6y) Reorder the terms: -20 + -1y = 40 + -3y + 6y Combine like terms: -3y + 6y = 3y -20 + -1y = 40 + 3y Solving -20 + -1y = 40 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -20 + -1y + -3y = 40 + 3y + -3y Combine like terms: -1y + -3y = -4y -20 + -4y = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 -20 + -4y = 40 + 0 -20 + -4y = 40 Add '20' to each side of the equation. -20 + 20 + -4y = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -4y = 40 + 20 -4y = 40 + 20 Combine like terms: 40 + 20 = 60 -4y = 60 Divide each side by '-4'. y = -15 Simplifying y = -15
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