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Simplifying 2(y + 5) + 5(2 + -3y) = 0 Reorder the terms: 2(5 + y) + 5(2 + -3y) = 0 (5 * 2 + y * 2) + 5(2 + -3y) = 0 (10 + 2y) + 5(2 + -3y) = 0 10 + 2y + (2 * 5 + -3y * 5) = 0 10 + 2y + (10 + -15y) = 0 Reorder the terms: 10 + 10 + 2y + -15y = 0 Combine like terms: 10 + 10 = 20 20 + 2y + -15y = 0 Combine like terms: 2y + -15y = -13y 20 + -13y = 0 Solving 20 + -13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -13y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -13y = 0 + -20 -13y = 0 + -20 Combine like terms: 0 + -20 = -20 -13y = -20 Divide each side by '-13'. y = 1.538461538 Simplifying y = 1.538461538
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