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Simplifying -3(-2y + 3) + -1(4y + -3) + 3y + 8 = 0 Reorder the terms: -3(3 + -2y) + -1(4y + -3) + 3y + 8 = 0 (3 * -3 + -2y * -3) + -1(4y + -3) + 3y + 8 = 0 (-9 + 6y) + -1(4y + -3) + 3y + 8 = 0 Reorder the terms: -9 + 6y + -1(-3 + 4y) + 3y + 8 = 0 -9 + 6y + (-3 * -1 + 4y * -1) + 3y + 8 = 0 -9 + 6y + (3 + -4y) + 3y + 8 = 0 Reorder the terms: -9 + 3 + 8 + 6y + -4y + 3y = 0 Combine like terms: -9 + 3 = -6 -6 + 8 + 6y + -4y + 3y = 0 Combine like terms: -6 + 8 = 2 2 + 6y + -4y + 3y = 0 Combine like terms: 6y + -4y = 2y 2 + 2y + 3y = 0 Combine like terms: 2y + 3y = 5y 2 + 5y = 0 Solving 2 + 5y = 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 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4
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