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Simplifying 4(y + 5) + -1y = y + 12 Reorder the terms: 4(5 + y) + -1y = y + 12 (5 * 4 + y * 4) + -1y = y + 12 (20 + 4y) + -1y = y + 12 Combine like terms: 4y + -1y = 3y 20 + 3y = y + 12 Reorder the terms: 20 + 3y = 12 + y Solving 20 + 3y = 12 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 20 + 3y + -1y = 12 + y + -1y Combine like terms: 3y + -1y = 2y 20 + 2y = 12 + y + -1y Combine like terms: y + -1y = 0 20 + 2y = 12 + 0 20 + 2y = 12 Add '-20' to each side of the equation. 20 + -20 + 2y = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 2y = 12 + -20 2y = 12 + -20 Combine like terms: 12 + -20 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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