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Simplifying 3(y + 5) + -5(2 + -3y) = 0 Reorder the terms: 3(5 + y) + -5(2 + -3y) = 0 (5 * 3 + y * 3) + -5(2 + -3y) = 0 (15 + 3y) + -5(2 + -3y) = 0 15 + 3y + (2 * -5 + -3y * -5) = 0 15 + 3y + (-10 + 15y) = 0 Reorder the terms: 15 + -10 + 3y + 15y = 0 Combine like terms: 15 + -10 = 5 5 + 3y + 15y = 0 Combine like terms: 3y + 15y = 18y 5 + 18y = 0 Solving 5 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 18y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 18y = 0 + -5 18y = 0 + -5 Combine like terms: 0 + -5 = -5 18y = -5 Divide each side by '18'. y = -0.2777777778 Simplifying y = -0.2777777778
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