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Simplifying (2y + -1) + -1(8y + 2) = 0 Reorder the terms: (-1 + 2y) + -1(8y + 2) = 0 Remove parenthesis around (-1 + 2y) -1 + 2y + -1(8y + 2) = 0 Reorder the terms: -1 + 2y + -1(2 + 8y) = 0 -1 + 2y + (2 * -1 + 8y * -1) = 0 -1 + 2y + (-2 + -8y) = 0 Reorder the terms: -1 + -2 + 2y + -8y = 0 Combine like terms: -1 + -2 = -3 -3 + 2y + -8y = 0 Combine like terms: 2y + -8y = -6y -3 + -6y = 0 Solving -3 + -6y = 0 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 + -6y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6y = 0 + 3 -6y = 0 + 3 Combine like terms: 0 + 3 = 3 -6y = 3 Divide each side by '-6'. y = -0.5 Simplifying y = -0.5
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