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Simplifying (5y + -8) = (3y + 1) Reorder the terms: (-8 + 5y) = (3y + 1) Remove parenthesis around (-8 + 5y) -8 + 5y = (3y + 1) Reorder the terms: -8 + 5y = (1 + 3y) Remove parenthesis around (1 + 3y) -8 + 5y = 1 + 3y Solving -8 + 5y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -8 + 5y + -3y = 1 + 3y + -3y Combine like terms: 5y + -3y = 2y -8 + 2y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 2y = 1 + 0 -8 + 2y = 1 Add '8' to each side of the equation. -8 + 8 + 2y = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 2y = 1 + 8 2y = 1 + 8 Combine like terms: 1 + 8 = 9 2y = 9 Divide each side by '2'. y = 4.5 Simplifying y = 4.5
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