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Simplifying 78 + 5y + -34 = 16y + -12 + -3y Reorder the terms: 78 + -34 + 5y = 16y + -12 + -3y Combine like terms: 78 + -34 = 44 44 + 5y = 16y + -12 + -3y Reorder the terms: 44 + 5y = -12 + 16y + -3y Combine like terms: 16y + -3y = 13y 44 + 5y = -12 + 13y Solving 44 + 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. 44 + 5y + -13y = -12 + 13y + -13y Combine like terms: 5y + -13y = -8y 44 + -8y = -12 + 13y + -13y Combine like terms: 13y + -13y = 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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