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Simplifying 5(3y + 2) + -1y = -32 Reorder the terms: 5(2 + 3y) + -1y = -32 (2 * 5 + 3y * 5) + -1y = -32 (10 + 15y) + -1y = -32 Combine like terms: 15y + -1y = 14y 10 + 14y = -32 Solving 10 + 14y = -32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14y = -32 + -10 Combine like terms: 10 + -10 = 0 0 + 14y = -32 + -10 14y = -32 + -10 Combine like terms: -32 + -10 = -42 14y = -42 Divide each side by '14'. y = -3 Simplifying y = -3
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