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Simplifying 3(6y + 2) + 13 = 5(3y + -1) + -3 Reorder the terms: 3(2 + 6y) + 13 = 5(3y + -1) + -3 (2 * 3 + 6y * 3) + 13 = 5(3y + -1) + -3 (6 + 18y) + 13 = 5(3y + -1) + -3 Reorder the terms: 6 + 13 + 18y = 5(3y + -1) + -3 Combine like terms: 6 + 13 = 19 19 + 18y = 5(3y + -1) + -3 Reorder the terms: 19 + 18y = 5(-1 + 3y) + -3 19 + 18y = (-1 * 5 + 3y * 5) + -3 19 + 18y = (-5 + 15y) + -3 Reorder the terms: 19 + 18y = -5 + -3 + 15y Combine like terms: -5 + -3 = -8 19 + 18y = -8 + 15y Solving 19 + 18y = -8 + 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. 19 + 18y + -15y = -8 + 15y + -15y Combine like terms: 18y + -15y = 3y 19 + 3y = -8 + 15y + -15y Combine like terms: 15y + -15y = 0 19 + 3y = -8 + 0 19 + 3y = -8 Add '-19' to each side of the equation. 19 + -19 + 3y = -8 + -19 Combine like terms: 19 + -19 = 0 0 + 3y = -8 + -19 3y = -8 + -19 Combine like terms: -8 + -19 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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