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Simplifying 14 + -8y + 32 = -3y + y + 10 Reorder the terms: 14 + 32 + -8y = -3y + y + 10 Combine like terms: 14 + 32 = 46 46 + -8y = -3y + y + 10 Reorder the terms: 46 + -8y = 10 + -3y + y Combine like terms: -3y + y = -2y 46 + -8y = 10 + -2y Solving 46 + -8y = 10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 46 + -8y + 2y = 10 + -2y + 2y Combine like terms: -8y + 2y = -6y 46 + -6y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 46 + -6y = 10 + 0 46 + -6y = 10 Add '-46' to each side of the equation. 46 + -46 + -6y = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -6y = 10 + -46 -6y = 10 + -46 Combine like terms: 10 + -46 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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