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Simplifying -30 + -9y + 17 = -28y + 47 + 9y Reorder the terms: -30 + 17 + -9y = -28y + 47 + 9y Combine like terms: -30 + 17 = -13 -13 + -9y = -28y + 47 + 9y Reorder the terms: -13 + -9y = 47 + -28y + 9y Combine like terms: -28y + 9y = -19y -13 + -9y = 47 + -19y Solving -13 + -9y = 47 + -19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19y' to each side of the equation. -13 + -9y + 19y = 47 + -19y + 19y Combine like terms: -9y + 19y = 10y -13 + 10y = 47 + -19y + 19y Combine like terms: -19y + 19y = 0 -13 + 10y = 47 + 0 -13 + 10y = 47 Add '13' to each side of the equation. -13 + 13 + 10y = 47 + 13 Combine like terms: -13 + 13 = 0 0 + 10y = 47 + 13 10y = 47 + 13 Combine like terms: 47 + 13 = 60 10y = 60 Divide each side by '10'. y = 6 Simplifying y = 6
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