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Simplifying -3(-2y + 3) + -1(4y + -3) + 5y + 9 = 0 Reorder the terms: -3(3 + -2y) + -1(4y + -3) + 5y + 9 = 0 (3 * -3 + -2y * -3) + -1(4y + -3) + 5y + 9 = 0 (-9 + 6y) + -1(4y + -3) + 5y + 9 = 0 Reorder the terms: -9 + 6y + -1(-3 + 4y) + 5y + 9 = 0 -9 + 6y + (-3 * -1 + 4y * -1) + 5y + 9 = 0 -9 + 6y + (3 + -4y) + 5y + 9 = 0 Reorder the terms: -9 + 3 + 9 + 6y + -4y + 5y = 0 Combine like terms: -9 + 3 = -6 -6 + 9 + 6y + -4y + 5y = 0 Combine like terms: -6 + 9 = 3 3 + 6y + -4y + 5y = 0 Combine like terms: 6y + -4y = 2y 3 + 2y + 5y = 0 Combine like terms: 2y + 5y = 7y 3 + 7y = 0 Solving 3 + 7y = 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 + 7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7y = 0 + -3 7y = 0 + -3 Combine like terms: 0 + -3 = -3 7y = -3 Divide each side by '7'. y = -0.4285714286 Simplifying y = -0.4285714286
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