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Simplifying 3(5y + 5) + -2(y + -3) = 0 Reorder the terms: 3(5 + 5y) + -2(y + -3) = 0 (5 * 3 + 5y * 3) + -2(y + -3) = 0 (15 + 15y) + -2(y + -3) = 0 Reorder the terms: 15 + 15y + -2(-3 + y) = 0 15 + 15y + (-3 * -2 + y * -2) = 0 15 + 15y + (6 + -2y) = 0 Reorder the terms: 15 + 6 + 15y + -2y = 0 Combine like terms: 15 + 6 = 21 21 + 15y + -2y = 0 Combine like terms: 15y + -2y = 13y 21 + 13y = 0 Solving 21 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 13y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 13y = 0 + -21 13y = 0 + -21 Combine like terms: 0 + -21 = -21 13y = -21 Divide each side by '13'. y = -1.615384615 Simplifying y = -1.615384615
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