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Simplifying 46 + 6y + -2 = 16y + -12 + -2y Reorder the terms: 46 + -2 + 6y = 16y + -12 + -2y Combine like terms: 46 + -2 = 44 44 + 6y = 16y + -12 + -2y Reorder the terms: 44 + 6y = -12 + 16y + -2y Combine like terms: 16y + -2y = 14y 44 + 6y = -12 + 14y Solving 44 + 6y = -12 + 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. 44 + 6y + -14y = -12 + 14y + -14y Combine like terms: 6y + -14y = -8y 44 + -8y = -12 + 14y + -14y Combine like terms: 14y + -14y = 0 44 + -8y = -12 + 0 44 + -8y = -12 Add '-44' to each side of the equation. 44 + -44 + -8y = -12 + -44 Combine like terms: 44 + -44 = 0 0 + -8y = -12 + -44 -8y = -12 + -44 Combine like terms: -12 + -44 = -56 -8y = -56 Divide each side by '-8'. y = 7 Simplifying y = 7
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