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Simplifying 7y + -46 = 3y + -6 Reorder the terms: -46 + 7y = 3y + -6 Reorder the terms: -46 + 7y = -6 + 3y Solving -46 + 7y = -6 + 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 + 7y + -3y = -6 + 3y + -3y Combine like terms: 7y + -3y = 4y -46 + 4y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 -46 + 4y = -6 + 0 -46 + 4y = -6 Add '46' to each side of the equation. -46 + 46 + 4y = -6 + 46 Combine like terms: -46 + 46 = 0 0 + 4y = -6 + 46 4y = -6 + 46 Combine like terms: -6 + 46 = 40 4y = 40 Divide each side by '4'. y = 10 Simplifying y = 10
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