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Simplifying -3y + -1 = 8y + 43 Reorder the terms: -1 + -3y = 8y + 43 Reorder the terms: -1 + -3y = 43 + 8y Solving -1 + -3y = 43 + 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 = 43 + 8y + -8y Combine like terms: -3y + -8y = -11y -1 + -11y = 43 + 8y + -8y Combine like terms: 8y + -8y = 0 -1 + -11y = 43 + 0 -1 + -11y = 43 Add '1' to each side of the equation. -1 + 1 + -11y = 43 + 1 Combine like terms: -1 + 1 = 0 0 + -11y = 43 + 1 -11y = 43 + 1 Combine like terms: 43 + 1 = 44 -11y = 44 Divide each side by '-11'. y = -4 Simplifying y = -4
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