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Simplifying -2(-3y + 1) + -1(5y + -2) + 8y + 3 = 0 Reorder the terms: -2(1 + -3y) + -1(5y + -2) + 8y + 3 = 0 (1 * -2 + -3y * -2) + -1(5y + -2) + 8y + 3 = 0 (-2 + 6y) + -1(5y + -2) + 8y + 3 = 0 Reorder the terms: -2 + 6y + -1(-2 + 5y) + 8y + 3 = 0 -2 + 6y + (-2 * -1 + 5y * -1) + 8y + 3 = 0 -2 + 6y + (2 + -5y) + 8y + 3 = 0 Reorder the terms: -2 + 2 + 3 + 6y + -5y + 8y = 0 Combine like terms: -2 + 2 = 0 0 + 3 + 6y + -5y + 8y = 0 3 + 6y + -5y + 8y = 0 Combine like terms: 6y + -5y = 1y 3 + 1y + 8y = 0 Combine like terms: 1y + 8y = 9y 3 + 9y = 0 Solving 3 + 9y = 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 + 9y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 9y = 0 + -3 9y = 0 + -3 Combine like terms: 0 + -3 = -3 9y = -3 Divide each side by '9'. y = -0.3333333333 Simplifying y = -0.3333333333
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