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Simplifying 5y + 16 = -3y + 6y + -12 Reorder the terms: 16 + 5y = -3y + 6y + -12 Reorder the terms: 16 + 5y = -12 + -3y + 6y Combine like terms: -3y + 6y = 3y 16 + 5y = -12 + 3y Solving 16 + 5y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 16 + 5y + -3y = -12 + 3y + -3y Combine like terms: 5y + -3y = 2y 16 + 2y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 16 + 2y = -12 + 0 16 + 2y = -12 Add '-16' to each side of the equation. 16 + -16 + 2y = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 2y = -12 + -16 2y = -12 + -16 Combine like terms: -12 + -16 = -28 2y = -28 Divide each side by '2'. y = -14 Simplifying y = -14
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