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Simplifying 6(5y + 4) + -16 = 3(6y + -3) + -14 Reorder the terms: 6(4 + 5y) + -16 = 3(6y + -3) + -14 (4 * 6 + 5y * 6) + -16 = 3(6y + -3) + -14 (24 + 30y) + -16 = 3(6y + -3) + -14 Reorder the terms: 24 + -16 + 30y = 3(6y + -3) + -14 Combine like terms: 24 + -16 = 8 8 + 30y = 3(6y + -3) + -14 Reorder the terms: 8 + 30y = 3(-3 + 6y) + -14 8 + 30y = (-3 * 3 + 6y * 3) + -14 8 + 30y = (-9 + 18y) + -14 Reorder the terms: 8 + 30y = -9 + -14 + 18y Combine like terms: -9 + -14 = -23 8 + 30y = -23 + 18y Solving 8 + 30y = -23 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 8 + 30y + -18y = -23 + 18y + -18y Combine like terms: 30y + -18y = 12y 8 + 12y = -23 + 18y + -18y Combine like terms: 18y + -18y = 0 8 + 12y = -23 + 0 8 + 12y = -23 Add '-8' to each side of the equation. 8 + -8 + 12y = -23 + -8 Combine like terms: 8 + -8 = 0 0 + 12y = -23 + -8 12y = -23 + -8 Combine like terms: -23 + -8 = -31 12y = -31 Divide each side by '12'. y = -2.583333333 Simplifying y = -2.583333333
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