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Simplifying -29 + -6y + 14 = -25y + 117 + 8y Reorder the terms: -29 + 14 + -6y = -25y + 117 + 8y Combine like terms: -29 + 14 = -15 -15 + -6y = -25y + 117 + 8y Reorder the terms: -15 + -6y = 117 + -25y + 8y Combine like terms: -25y + 8y = -17y -15 + -6y = 117 + -17y Solving -15 + -6y = 117 + -17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17y' to each side of the equation. -15 + -6y + 17y = 117 + -17y + 17y Combine like terms: -6y + 17y = 11y -15 + 11y = 117 + -17y + 17y Combine like terms: -17y + 17y = 0 -15 + 11y = 117 + 0 -15 + 11y = 117 Add '15' to each side of the equation. -15 + 15 + 11y = 117 + 15 Combine like terms: -15 + 15 = 0 0 + 11y = 117 + 15 11y = 117 + 15 Combine like terms: 117 + 15 = 132 11y = 132 Divide each side by '11'. y = 12 Simplifying y = 12
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