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Simplifying (3y + -2) + -1(6y + 4) + (8y + 2) = 0 Reorder the terms: (-2 + 3y) + -1(6y + 4) + (8y + 2) = 0 Remove parenthesis around (-2 + 3y) -2 + 3y + -1(6y + 4) + (8y + 2) = 0 Reorder the terms: -2 + 3y + -1(4 + 6y) + (8y + 2) = 0 -2 + 3y + (4 * -1 + 6y * -1) + (8y + 2) = 0 -2 + 3y + (-4 + -6y) + (8y + 2) = 0 Reorder the terms: -2 + 3y + -4 + -6y + (2 + 8y) = 0 Remove parenthesis around (2 + 8y) -2 + 3y + -4 + -6y + 2 + 8y = 0 Reorder the terms: -2 + -4 + 2 + 3y + -6y + 8y = 0 Combine like terms: -2 + -4 = -6 -6 + 2 + 3y + -6y + 8y = 0 Combine like terms: -6 + 2 = -4 -4 + 3y + -6y + 8y = 0 Combine like terms: 3y + -6y = -3y -4 + -3y + 8y = 0 Combine like terms: -3y + 8y = 5y -4 + 5y = 0 Solving -4 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 0 + 4 5y = 0 + 4 Combine like terms: 0 + 4 = 4 5y = 4 Divide each side by '5'. y = 0.8 Simplifying y = 0.8
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