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Simplifying 7y + -22 = -46 + 3y Reorder the terms: -22 + 7y = -46 + 3y Solving -22 + 7y = -46 + 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. -22 + 7y + -3y = -46 + 3y + -3y Combine like terms: 7y + -3y = 4y -22 + 4y = -46 + 3y + -3y Combine like terms: 3y + -3y = 0 -22 + 4y = -46 + 0 -22 + 4y = -46 Add '22' to each side of the equation. -22 + 22 + 4y = -46 + 22 Combine like terms: -22 + 22 = 0 0 + 4y = -46 + 22 4y = -46 + 22 Combine like terms: -46 + 22 = -24 4y = -24 Divide each side by '4'. y = -6 Simplifying y = -6
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