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Simplifying 4(y + 1) + 5 = (y + -1) + y Reorder the terms: 4(1 + y) + 5 = (y + -1) + y (1 * 4 + y * 4) + 5 = (y + -1) + y (4 + 4y) + 5 = (y + -1) + y Reorder the terms: 4 + 5 + 4y = (y + -1) + y Combine like terms: 4 + 5 = 9 9 + 4y = (y + -1) + y Reorder the terms: 9 + 4y = (-1 + y) + y Remove parenthesis around (-1 + y) 9 + 4y = -1 + y + y Combine like terms: y + y = 2y 9 + 4y = -1 + 2y Solving 9 + 4y = -1 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 9 + 4y + -2y = -1 + 2y + -2y Combine like terms: 4y + -2y = 2y 9 + 2y = -1 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + 2y = -1 + 0 9 + 2y = -1 Add '-9' to each side of the equation. 9 + -9 + 2y = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = -1 + -9 2y = -1 + -9 Combine like terms: -1 + -9 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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