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Simplifying 54 + 6y + -9 = 17y + -11 + -3y Reorder the terms: 54 + -9 + 6y = 17y + -11 + -3y Combine like terms: 54 + -9 = 45 45 + 6y = 17y + -11 + -3y Reorder the terms: 45 + 6y = -11 + 17y + -3y Combine like terms: 17y + -3y = 14y 45 + 6y = -11 + 14y Solving 45 + 6y = -11 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 45 + 6y + -14y = -11 + 14y + -14y Combine like terms: 6y + -14y = -8y 45 + -8y = -11 + 14y + -14y Combine like terms: 14y + -14y = 0 45 + -8y = -11 + 0 45 + -8y = -11 Add '-45' to each side of the equation. 45 + -45 + -8y = -11 + -45 Combine like terms: 45 + -45 = 0 0 + -8y = -11 + -45 -8y = -11 + -45 Combine like terms: -11 + -45 = -56 -8y = -56 Divide each side by '-8'. y = 7 Simplifying y = 7
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