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Simplifying -42 + -17y + 15 = -33y + 33 + 6y Reorder the terms: -42 + 15 + -17y = -33y + 33 + 6y Combine like terms: -42 + 15 = -27 -27 + -17y = -33y + 33 + 6y Reorder the terms: -27 + -17y = 33 + -33y + 6y Combine like terms: -33y + 6y = -27y -27 + -17y = 33 + -27y Solving -27 + -17y = 33 + -27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27y' to each side of the equation. -27 + -17y + 27y = 33 + -27y + 27y Combine like terms: -17y + 27y = 10y -27 + 10y = 33 + -27y + 27y Combine like terms: -27y + 27y = 0 -27 + 10y = 33 + 0 -27 + 10y = 33 Add '27' to each side of the equation. -27 + 27 + 10y = 33 + 27 Combine like terms: -27 + 27 = 0 0 + 10y = 33 + 27 10y = 33 + 27 Combine like terms: 33 + 27 = 60 10y = 60 Divide each side by '10'. y = 6 Simplifying y = 6
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