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Simplifying 4(5y + 7) = -17 + 8y Reorder the terms: 4(7 + 5y) = -17 + 8y (7 * 4 + 5y * 4) = -17 + 8y (28 + 20y) = -17 + 8y Solving 28 + 20y = -17 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 28 + 20y + -8y = -17 + 8y + -8y Combine like terms: 20y + -8y = 12y 28 + 12y = -17 + 8y + -8y Combine like terms: 8y + -8y = 0 28 + 12y = -17 + 0 28 + 12y = -17 Add '-28' to each side of the equation. 28 + -28 + 12y = -17 + -28 Combine like terms: 28 + -28 = 0 0 + 12y = -17 + -28 12y = -17 + -28 Combine like terms: -17 + -28 = -45 12y = -45 Divide each side by '12'. y = -3.75 Simplifying y = -3.75
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