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Simplifying 4(6y + 3) + 10 = 5(3y + -1) + -12 Reorder the terms: 4(3 + 6y) + 10 = 5(3y + -1) + -12 (3 * 4 + 6y * 4) + 10 = 5(3y + -1) + -12 (12 + 24y) + 10 = 5(3y + -1) + -12 Reorder the terms: 12 + 10 + 24y = 5(3y + -1) + -12 Combine like terms: 12 + 10 = 22 22 + 24y = 5(3y + -1) + -12 Reorder the terms: 22 + 24y = 5(-1 + 3y) + -12 22 + 24y = (-1 * 5 + 3y * 5) + -12 22 + 24y = (-5 + 15y) + -12 Reorder the terms: 22 + 24y = -5 + -12 + 15y Combine like terms: -5 + -12 = -17 22 + 24y = -17 + 15y Solving 22 + 24y = -17 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 22 + 24y + -15y = -17 + 15y + -15y Combine like terms: 24y + -15y = 9y 22 + 9y = -17 + 15y + -15y Combine like terms: 15y + -15y = 0 22 + 9y = -17 + 0 22 + 9y = -17 Add '-22' to each side of the equation. 22 + -22 + 9y = -17 + -22 Combine like terms: 22 + -22 = 0 0 + 9y = -17 + -22 9y = -17 + -22 Combine like terms: -17 + -22 = -39 9y = -39 Divide each side by '9'. y = -4.333333333 Simplifying y = -4.333333333
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