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Simplifying (3y2 + 8y + -1) + -1(3y2 + 2) = 5 Reorder the terms: (-1 + 8y + 3y2) + -1(3y2 + 2) = 5 Remove parenthesis around (-1 + 8y + 3y2) -1 + 8y + 3y2 + -1(3y2 + 2) = 5 Reorder the terms: -1 + 8y + 3y2 + -1(2 + 3y2) = 5 -1 + 8y + 3y2 + (2 * -1 + 3y2 * -1) = 5 -1 + 8y + 3y2 + (-2 + -3y2) = 5 Reorder the terms: -1 + -2 + 8y + 3y2 + -3y2 = 5 Combine like terms: -1 + -2 = -3 -3 + 8y + 3y2 + -3y2 = 5 Combine like terms: 3y2 + -3y2 = 0 -3 + 8y + 0 = 5 -3 + 8y = 5 Solving -3 + 8y = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8y = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 8y = 5 + 3 8y = 5 + 3 Combine like terms: 5 + 3 = 8 8y = 8 Divide each side by '8'. y = 1 Simplifying y = 1
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