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Simplifying -2(-2y + 3) + -1(3y + -6) + 5y + 2 = 0 Reorder the terms: -2(3 + -2y) + -1(3y + -6) + 5y + 2 = 0 (3 * -2 + -2y * -2) + -1(3y + -6) + 5y + 2 = 0 (-6 + 4y) + -1(3y + -6) + 5y + 2 = 0 Reorder the terms: -6 + 4y + -1(-6 + 3y) + 5y + 2 = 0 -6 + 4y + (-6 * -1 + 3y * -1) + 5y + 2 = 0 -6 + 4y + (6 + -3y) + 5y + 2 = 0 Reorder the terms: -6 + 6 + 2 + 4y + -3y + 5y = 0 Combine like terms: -6 + 6 = 0 0 + 2 + 4y + -3y + 5y = 0 2 + 4y + -3y + 5y = 0 Combine like terms: 4y + -3y = 1y 2 + 1y + 5y = 0 Combine like terms: 1y + 5y = 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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