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Simplifying 5 + -1y = 7(y + 4) + 1 Reorder the terms: 5 + -1y = 7(4 + y) + 1 5 + -1y = (4 * 7 + y * 7) + 1 5 + -1y = (28 + 7y) + 1 Reorder the terms: 5 + -1y = 28 + 1 + 7y Combine like terms: 28 + 1 = 29 5 + -1y = 29 + 7y Solving 5 + -1y = 29 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 5 + -1y + -7y = 29 + 7y + -7y Combine like terms: -1y + -7y = -8y 5 + -8y = 29 + 7y + -7y Combine like terms: 7y + -7y = 0 5 + -8y = 29 + 0 5 + -8y = 29 Add '-5' to each side of the equation. 5 + -5 + -8y = 29 + -5 Combine like terms: 5 + -5 = 0 0 + -8y = 29 + -5 -8y = 29 + -5 Combine like terms: 29 + -5 = 24 -8y = 24 Divide each side by '-8'. y = -3 Simplifying y = -3
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