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Simplifying (3y2 + 8y + -1) + -1(3y2 + 5) = 5 Reorder the terms: (-1 + 8y + 3y2) + -1(3y2 + 5) = 5 Remove parenthesis around (-1 + 8y + 3y2) -1 + 8y + 3y2 + -1(3y2 + 5) = 5 Reorder the terms: -1 + 8y + 3y2 + -1(5 + 3y2) = 5 -1 + 8y + 3y2 + (5 * -1 + 3y2 * -1) = 5 -1 + 8y + 3y2 + (-5 + -3y2) = 5 Reorder the terms: -1 + -5 + 8y + 3y2 + -3y2 = 5 Combine like terms: -1 + -5 = -6 -6 + 8y + 3y2 + -3y2 = 5 Combine like terms: 3y2 + -3y2 = 0 -6 + 8y + 0 = 5 -6 + 8y = 5 Solving -6 + 8y = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8y = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 8y = 5 + 6 8y = 5 + 6 Combine like terms: 5 + 6 = 11 8y = 11 Divide each side by '8'. y = 1.375 Simplifying y = 1.375
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