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Simplifying (5y + -1) + -1(8y + 1) = 0 Reorder the terms: (-1 + 5y) + -1(8y + 1) = 0 Remove parenthesis around (-1 + 5y) -1 + 5y + -1(8y + 1) = 0 Reorder the terms: -1 + 5y + -1(1 + 8y) = 0 -1 + 5y + (1 * -1 + 8y * -1) = 0 -1 + 5y + (-1 + -8y) = 0 Reorder the terms: -1 + -1 + 5y + -8y = 0 Combine like terms: -1 + -1 = -2 -2 + 5y + -8y = 0 Combine like terms: 5y + -8y = -3y -2 + -3y = 0 Solving -2 + -3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 0 + 2 -3y = 0 + 2 Combine like terms: 0 + 2 = 2 -3y = 2 Divide each side by '-3'. y = -0.6666666667 Simplifying y = -0.6666666667
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