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Simplifying 8y + 5(y + 4) = (7y + -1) * 3 Reorder the terms: 8y + 5(4 + y) = (7y + -1) * 3 8y + (4 * 5 + y * 5) = (7y + -1) * 3 8y + (20 + 5y) = (7y + -1) * 3 Reorder the terms: 20 + 8y + 5y = (7y + -1) * 3 Combine like terms: 8y + 5y = 13y 20 + 13y = (7y + -1) * 3 Reorder the terms: 20 + 13y = (-1 + 7y) * 3 Reorder the terms for easier multiplication: 20 + 13y = 3(-1 + 7y) 20 + 13y = (-1 * 3 + 7y * 3) 20 + 13y = (-3 + 21y) Solving 20 + 13y = -3 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. 20 + 13y + -21y = -3 + 21y + -21y Combine like terms: 13y + -21y = -8y 20 + -8y = -3 + 21y + -21y Combine like terms: 21y + -21y = 0 20 + -8y = -3 + 0 20 + -8y = -3 Add '-20' to each side of the equation. 20 + -20 + -8y = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -8y = -3 + -20 -8y = -3 + -20 Combine like terms: -3 + -20 = -23 -8y = -23 Divide each side by '-8'. y = 2.875 Simplifying y = 2.875
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