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Simplifying -2(-4y + 2) + -1(5y + -3) + 3y + 3 = 0 Reorder the terms: -2(2 + -4y) + -1(5y + -3) + 3y + 3 = 0 (2 * -2 + -4y * -2) + -1(5y + -3) + 3y + 3 = 0 (-4 + 8y) + -1(5y + -3) + 3y + 3 = 0 Reorder the terms: -4 + 8y + -1(-3 + 5y) + 3y + 3 = 0 -4 + 8y + (-3 * -1 + 5y * -1) + 3y + 3 = 0 -4 + 8y + (3 + -5y) + 3y + 3 = 0 Reorder the terms: -4 + 3 + 3 + 8y + -5y + 3y = 0 Combine like terms: -4 + 3 = -1 -1 + 3 + 8y + -5y + 3y = 0 Combine like terms: -1 + 3 = 2 2 + 8y + -5y + 3y = 0 Combine like terms: 8y + -5y = 3y 2 + 3y + 3y = 0 Combine like terms: 3y + 3y = 6y 2 + 6y = 0 Solving 2 + 6y = 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 + 6y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6y = 0 + -2 6y = 0 + -2 Combine like terms: 0 + -2 = -2 6y = -2 Divide each side by '6'. y = -0.3333333333 Simplifying y = -0.3333333333
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