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Simplifying (2 + 5 + -7 + -3 + -3 + -3 + 13 + (-8 + -8) + 1 + -9 + y + 9 + 9 + -6y) = 32 Combine like terms: -8 + -8 = -16 (2 + 5 + -7 + -3 + -3 + -3 + 13 + (-16) + 1 + -9 + y + 9 + 9 + -6y) = 32 (2 + 5 + -7 + -3 + -3 + -3 + 13 + -16 + 1 + -9 + y + 9 + 9 + -6y) = 32 Reorder the terms: (2 + 5 + -7 + -3 + -3 + -3 + 13 + -16 + 1 + -9 + 9 + 9 + y + -6y) = 32 Combine like terms: 2 + 5 = 7 (7 + -7 + -3 + -3 + -3 + 13 + -16 + 1 + -9 + 9 + 9 + y + -6y) = 32 Combine like terms: 7 + -7 = 0 (0 + -3 + -3 + -3 + 13 + -16 + 1 + -9 + 9 + 9 + y + -6y) = 32 (-3 + -3 + -3 + 13 + -16 + 1 + -9 + 9 + 9 + y + -6y) = 32 Combine like terms: -3 + -3 = -6 (-6 + -3 + 13 + -16 + 1 + -9 + 9 + 9 + y + -6y) = 32 Combine like terms: -6 + -3 = -9 (-9 + 13 + -16 + 1 + -9 + 9 + 9 + y + -6y) = 32 Combine like terms: -9 + 13 = 4 (4 + -16 + 1 + -9 + 9 + 9 + y + -6y) = 32 Combine like terms: 4 + -16 = -12 (-12 + 1 + -9 + 9 + 9 + y + -6y) = 32 Combine like terms: -12 + 1 = -11 (-11 + -9 + 9 + 9 + y + -6y) = 32 Combine like terms: -11 + -9 = -20 (-20 + 9 + 9 + y + -6y) = 32 Combine like terms: -20 + 9 = -11 (-11 + 9 + y + -6y) = 32 Combine like terms: -11 + 9 = -2 (-2 + y + -6y) = 32 Combine like terms: y + -6y = -5y (-2 + -5y) = 32 Remove parenthesis around (-2 + -5y) -2 + -5y = 32 Solving -2 + -5y = 32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5y = 32 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 32 + 2 -5y = 32 + 2 Combine like terms: 32 + 2 = 34 -5y = 34 Divide each side by '-5'. y = -6.8 Simplifying y = -6.8
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