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Simplifying -3y + 1 = -8y + 51 Reorder the terms: 1 + -3y = -8y + 51 Reorder the terms: 1 + -3y = 51 + -8y Solving 1 + -3y = 51 + -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. 1 + -3y + 8y = 51 + -8y + 8y Combine like terms: -3y + 8y = 5y 1 + 5y = 51 + -8y + 8y Combine like terms: -8y + 8y = 0 1 + 5y = 51 + 0 1 + 5y = 51 Add '-1' to each side of the equation. 1 + -1 + 5y = 51 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 51 + -1 5y = 51 + -1 Combine like terms: 51 + -1 = 50 5y = 50 Divide each side by '5'. y = 10 Simplifying y = 10
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