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Simplifying -43 + -14y + 13 = -32y + 14 + 7y Reorder the terms: -43 + 13 + -14y = -32y + 14 + 7y Combine like terms: -43 + 13 = -30 -30 + -14y = -32y + 14 + 7y Reorder the terms: -30 + -14y = 14 + -32y + 7y Combine like terms: -32y + 7y = -25y -30 + -14y = 14 + -25y Solving -30 + -14y = 14 + -25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25y' to each side of the equation. -30 + -14y + 25y = 14 + -25y + 25y Combine like terms: -14y + 25y = 11y -30 + 11y = 14 + -25y + 25y Combine like terms: -25y + 25y = 0 -30 + 11y = 14 + 0 -30 + 11y = 14 Add '30' to each side of the equation. -30 + 30 + 11y = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 11y = 14 + 30 11y = 14 + 30 Combine like terms: 14 + 30 = 44 11y = 44 Divide each side by '11'. y = 4 Simplifying y = 4
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