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Simplifying 46 + 3y + -16 = 13y + -12 + -4y Reorder the terms: 46 + -16 + 3y = 13y + -12 + -4y Combine like terms: 46 + -16 = 30 30 + 3y = 13y + -12 + -4y Reorder the terms: 30 + 3y = -12 + 13y + -4y Combine like terms: 13y + -4y = 9y 30 + 3y = -12 + 9y Solving 30 + 3y = -12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 30 + 3y + -9y = -12 + 9y + -9y Combine like terms: 3y + -9y = -6y 30 + -6y = -12 + 9y + -9y Combine like terms: 9y + -9y = 0 30 + -6y = -12 + 0 30 + -6y = -12 Add '-30' to each side of the equation. 30 + -30 + -6y = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -6y = -12 + -30 -6y = -12 + -30 Combine like terms: -12 + -30 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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