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Simplifying -3y + 1 = 8y + -32 Reorder the terms: 1 + -3y = 8y + -32 Reorder the terms: 1 + -3y = -32 + 8y Solving 1 + -3y = -32 + 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 = -32 + 8y + -8y Combine like terms: -3y + -8y = -11y 1 + -11y = -32 + 8y + -8y Combine like terms: 8y + -8y = 0 1 + -11y = -32 + 0 1 + -11y = -32 Add '-1' to each side of the equation. 1 + -1 + -11y = -32 + -1 Combine like terms: 1 + -1 = 0 0 + -11y = -32 + -1 -11y = -32 + -1 Combine like terms: -32 + -1 = -33 -11y = -33 Divide each side by '-11'. y = 3 Simplifying y = 3
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