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Simplifying 78 + 6y + -35 = 16y + -13 + -2y Reorder the terms: 78 + -35 + 6y = 16y + -13 + -2y Combine like terms: 78 + -35 = 43 43 + 6y = 16y + -13 + -2y Reorder the terms: 43 + 6y = -13 + 16y + -2y Combine like terms: 16y + -2y = 14y 43 + 6y = -13 + 14y Solving 43 + 6y = -13 + 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. 43 + 6y + -14y = -13 + 14y + -14y Combine like terms: 6y + -14y = -8y 43 + -8y = -13 + 14y + -14y Combine like terms: 14y + -14y = 0 43 + -8y = -13 + 0 43 + -8y = -13 Add '-43' to each side of the equation. 43 + -43 + -8y = -13 + -43 Combine like terms: 43 + -43 = 0 0 + -8y = -13 + -43 -8y = -13 + -43 Combine like terms: -13 + -43 = -56 -8y = -56 Divide each side by '-8'. y = 7 Simplifying y = 7
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