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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 = -5y -1 + 2y = 16.5 + -5y Solving -1 + 2y = 16.5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -1 + 2y + 5y = 16.5 + -5y + 5y Combine like terms: 2y + 5y = 7y -1 + 7y = 16.5 + -5y + 5y Combine like terms: -5y + 5y = 0 -1 + 7y = 16.5 + 0 -1 + 7y = 16.5 Add '1' to each side of the equation. -1 + 1 + 7y = 16.5 + 1 Combine like terms: -1 + 1 = 0 0 + 7y = 16.5 + 1 7y = 16.5 + 1 Combine like terms: 16.5 + 1 = 17.5 7y = 17.5 Divide each side by '7'. y = 2.5 Simplifying y = 2.5
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