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Simplifying 5(y + 4) + -3 = 4y + 12 Reorder the terms: 5(4 + y) + -3 = 4y + 12 (4 * 5 + y * 5) + -3 = 4y + 12 (20 + 5y) + -3 = 4y + 12 Reorder the terms: 20 + -3 + 5y = 4y + 12 Combine like terms: 20 + -3 = 17 17 + 5y = 4y + 12 Reorder the terms: 17 + 5y = 12 + 4y Solving 17 + 5y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 17 + 5y + -4y = 12 + 4y + -4y Combine like terms: 5y + -4y = 1y 17 + 1y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 17 + 1y = 12 + 0 17 + 1y = 12 Add '-17' to each side of the equation. 17 + -17 + 1y = 12 + -17 Combine like terms: 17 + -17 = 0 0 + 1y = 12 + -17 1y = 12 + -17 Combine like terms: 12 + -17 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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