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Simplifying 2(3y + 4) + 3(5y + -2) = 0 Reorder the terms: 2(4 + 3y) + 3(5y + -2) = 0 (4 * 2 + 3y * 2) + 3(5y + -2) = 0 (8 + 6y) + 3(5y + -2) = 0 Reorder the terms: 8 + 6y + 3(-2 + 5y) = 0 8 + 6y + (-2 * 3 + 5y * 3) = 0 8 + 6y + (-6 + 15y) = 0 Reorder the terms: 8 + -6 + 6y + 15y = 0 Combine like terms: 8 + -6 = 2 2 + 6y + 15y = 0 Combine like terms: 6y + 15y = 21y 2 + 21y = 0 Solving 2 + 21y = 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 + 21y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 21y = 0 + -2 21y = 0 + -2 Combine like terms: 0 + -2 = -2 21y = -2 Divide each side by '21'. y = -0.09523809524 Simplifying y = -0.09523809524
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