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Simplifying 2y + 46 = 3y + -4 Reorder the terms: 46 + 2y = 3y + -4 Reorder the terms: 46 + 2y = -4 + 3y Solving 46 + 2y = -4 + 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. 46 + 2y + -3y = -4 + 3y + -3y Combine like terms: 2y + -3y = -1y 46 + -1y = -4 + 3y + -3y Combine like terms: 3y + -3y = 0 46 + -1y = -4 + 0 46 + -1y = -4 Add '-46' to each side of the equation. 46 + -46 + -1y = -4 + -46 Combine like terms: 46 + -46 = 0 0 + -1y = -4 + -46 -1y = -4 + -46 Combine like terms: -4 + -46 = -50 -1y = -50 Divide each side by '-1'. y = 50 Simplifying y = 50
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