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Simplifying 3y + 7 + -1y + -8 = 2y + 3 + -3y + 13.5 Reorder the terms: 7 + -8 + 3y + -1y = 2y + 3 + -3y + 13.5 Combine like terms: 7 + -8 = -1 -1 + 3y + -1y = 2y + 3 + -3y + 13.5 Combine like terms: 3y + -1y = 2y -1 + 2y = 2y + 3 + -3y + 13.5 Reorder the terms: -1 + 2y = 3 + 13.5 + 2y + -3y Combine like terms: 3 + 13.5 = 16.5 -1 + 2y = 16.5 + 2y + -3y Combine like terms: 2y + -3y = -1y -1 + 2y = 16.5 + -1y Solving -1 + 2y = 16.5 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -1 + 2y + y = 16.5 + -1y + y Combine like terms: 2y + y = 3y -1 + 3y = 16.5 + -1y + y Combine like terms: -1y + y = 0 -1 + 3y = 16.5 + 0 -1 + 3y = 16.5 Add '1' to each side of the equation. -1 + 1 + 3y = 16.5 + 1 Combine like terms: -1 + 1 = 0 0 + 3y = 16.5 + 1 3y = 16.5 + 1 Combine like terms: 16.5 + 1 = 17.5 3y = 17.5 Divide each side by '3'. y = 5.833333333 Simplifying y = 5.833333333
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