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Simplifying 5(6y + 4) + 14 = 4(3y + -4) + -9 Reorder the terms: 5(4 + 6y) + 14 = 4(3y + -4) + -9 (4 * 5 + 6y * 5) + 14 = 4(3y + -4) + -9 (20 + 30y) + 14 = 4(3y + -4) + -9 Reorder the terms: 20 + 14 + 30y = 4(3y + -4) + -9 Combine like terms: 20 + 14 = 34 34 + 30y = 4(3y + -4) + -9 Reorder the terms: 34 + 30y = 4(-4 + 3y) + -9 34 + 30y = (-4 * 4 + 3y * 4) + -9 34 + 30y = (-16 + 12y) + -9 Reorder the terms: 34 + 30y = -16 + -9 + 12y Combine like terms: -16 + -9 = -25 34 + 30y = -25 + 12y Solving 34 + 30y = -25 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 34 + 30y + -12y = -25 + 12y + -12y Combine like terms: 30y + -12y = 18y 34 + 18y = -25 + 12y + -12y Combine like terms: 12y + -12y = 0 34 + 18y = -25 + 0 34 + 18y = -25 Add '-34' to each side of the equation. 34 + -34 + 18y = -25 + -34 Combine like terms: 34 + -34 = 0 0 + 18y = -25 + -34 18y = -25 + -34 Combine like terms: -25 + -34 = -59 18y = -59 Divide each side by '18'. y = -3.277777778 Simplifying y = -3.277777778
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