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Simplifying 75 + 5y + -29 = 17y + -10 + -4y Reorder the terms: 75 + -29 + 5y = 17y + -10 + -4y Combine like terms: 75 + -29 = 46 46 + 5y = 17y + -10 + -4y Reorder the terms: 46 + 5y = -10 + 17y + -4y Combine like terms: 17y + -4y = 13y 46 + 5y = -10 + 13y Solving 46 + 5y = -10 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 46 + 5y + -13y = -10 + 13y + -13y Combine like terms: 5y + -13y = -8y 46 + -8y = -10 + 13y + -13y Combine like terms: 13y + -13y = 0 46 + -8y = -10 + 0 46 + -8y = -10 Add '-46' to each side of the equation. 46 + -46 + -8y = -10 + -46 Combine like terms: 46 + -46 = 0 0 + -8y = -10 + -46 -8y = -10 + -46 Combine like terms: -10 + -46 = -56 -8y = -56 Divide each side by '-8'. y = 7 Simplifying y = 7
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