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Simplifying (4y + 12) + -1(2y + -5) = 0 Reorder the terms: (12 + 4y) + -1(2y + -5) = 0 Remove parenthesis around (12 + 4y) 12 + 4y + -1(2y + -5) = 0 Reorder the terms: 12 + 4y + -1(-5 + 2y) = 0 12 + 4y + (-5 * -1 + 2y * -1) = 0 12 + 4y + (5 + -2y) = 0 Reorder the terms: 12 + 5 + 4y + -2y = 0 Combine like terms: 12 + 5 = 17 17 + 4y + -2y = 0 Combine like terms: 4y + -2y = 2y 17 + 2y = 0 Solving 17 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2y = 0 + -17 2y = 0 + -17 Combine like terms: 0 + -17 = -17 2y = -17 Divide each side by '2'. y = -8.5 Simplifying y = -8.5
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