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Simplifying -33y + (-36y + -39) + (-23y + 20) = 31 + (-22y + -30) Reorder the terms: -33y + (-39 + -36y) + (-23y + 20) = 31 + (-22y + -30) Remove parenthesis around (-39 + -36y) -33y + -39 + -36y + (-23y + 20) = 31 + (-22y + -30) Reorder the terms: -33y + -39 + -36y + (20 + -23y) = 31 + (-22y + -30) Remove parenthesis around (20 + -23y) -33y + -39 + -36y + 20 + -23y = 31 + (-22y + -30) Reorder the terms: -39 + 20 + -33y + -36y + -23y = 31 + (-22y + -30) Combine like terms: -39 + 20 = -19 -19 + -33y + -36y + -23y = 31 + (-22y + -30) Combine like terms: -33y + -36y = -69y -19 + -69y + -23y = 31 + (-22y + -30) Combine like terms: -69y + -23y = -92y -19 + -92y = 31 + (-22y + -30) Reorder the terms: -19 + -92y = 31 + (-30 + -22y) Remove parenthesis around (-30 + -22y) -19 + -92y = 31 + -30 + -22y Combine like terms: 31 + -30 = 1 -19 + -92y = 1 + -22y Solving -19 + -92y = 1 + -22y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22y' to each side of the equation. -19 + -92y + 22y = 1 + -22y + 22y Combine like terms: -92y + 22y = -70y -19 + -70y = 1 + -22y + 22y Combine like terms: -22y + 22y = 0 -19 + -70y = 1 + 0 -19 + -70y = 1 Add '19' to each side of the equation. -19 + 19 + -70y = 1 + 19 Combine like terms: -19 + 19 = 0 0 + -70y = 1 + 19 -70y = 1 + 19 Combine like terms: 1 + 19 = 20 -70y = 20 Divide each side by '-70'. y = -0.2857142857 Simplifying y = -0.2857142857
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