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Simplifying 7y + 21 = 8y + -40 Reorder the terms: 21 + 7y = 8y + -40 Reorder the terms: 21 + 7y = -40 + 8y Solving 21 + 7y = -40 + 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. 21 + 7y + -8y = -40 + 8y + -8y Combine like terms: 7y + -8y = -1y 21 + -1y = -40 + 8y + -8y Combine like terms: 8y + -8y = 0 21 + -1y = -40 + 0 21 + -1y = -40 Add '-21' to each side of the equation. 21 + -21 + -1y = -40 + -21 Combine like terms: 21 + -21 = 0 0 + -1y = -40 + -21 -1y = -40 + -21 Combine like terms: -40 + -21 = -61 -1y = -61 Divide each side by '-1'. y = 61 Simplifying y = 61
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