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Simplifying 5y + -8 = 3(9 + -1y) Reorder the terms: -8 + 5y = 3(9 + -1y) -8 + 5y = (9 * 3 + -1y * 3) -8 + 5y = (27 + -3y) Solving -8 + 5y = 27 + -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 = 27 + -3y + 3y Combine like terms: 5y + 3y = 8y -8 + 8y = 27 + -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 8y = 27 + 0 -8 + 8y = 27 Add '8' to each side of the equation. -8 + 8 + 8y = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 8y = 27 + 8 8y = 27 + 8 Combine like terms: 27 + 8 = 35 8y = 35 Divide each side by '8'. y = 4.375 Simplifying y = 4.375
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