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Simplifying -2(-4y + 1) + -1(3y + -3) + -3y + 2 = 0 Reorder the terms: -2(1 + -4y) + -1(3y + -3) + -3y + 2 = 0 (1 * -2 + -4y * -2) + -1(3y + -3) + -3y + 2 = 0 (-2 + 8y) + -1(3y + -3) + -3y + 2 = 0 Reorder the terms: -2 + 8y + -1(-3 + 3y) + -3y + 2 = 0 -2 + 8y + (-3 * -1 + 3y * -1) + -3y + 2 = 0 -2 + 8y + (3 + -3y) + -3y + 2 = 0 Reorder the terms: -2 + 3 + 2 + 8y + -3y + -3y = 0 Combine like terms: -2 + 3 = 1 1 + 2 + 8y + -3y + -3y = 0 Combine like terms: 1 + 2 = 3 3 + 8y + -3y + -3y = 0 Combine like terms: 8y + -3y = 5y 3 + 5y + -3y = 0 Combine like terms: 5y + -3y = 2y 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5
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