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Simplifying 40 + 5y + -12 = 17y + -12 + -4y Reorder the terms: 40 + -12 + 5y = 17y + -12 + -4y Combine like terms: 40 + -12 = 28 28 + 5y = 17y + -12 + -4y Reorder the terms: 28 + 5y = -12 + 17y + -4y Combine like terms: 17y + -4y = 13y 28 + 5y = -12 + 13y Solving 28 + 5y = -12 + 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. 28 + 5y + -13y = -12 + 13y + -13y Combine like terms: 5y + -13y = -8y 28 + -8y = -12 + 13y + -13y Combine like terms: 13y + -13y = 0 28 + -8y = -12 + 0 28 + -8y = -12 Add '-28' to each side of the equation. 28 + -28 + -8y = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -8y = -12 + -28 -8y = -12 + -28 Combine like terms: -12 + -28 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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