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Simplifying 7y + -18 = -46 + 3y Reorder the terms: -18 + 7y = -46 + 3y Solving -18 + 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. -18 + 7y + -3y = -46 + 3y + -3y Combine like terms: 7y + -3y = 4y -18 + 4y = -46 + 3y + -3y Combine like terms: 3y + -3y = 0 -18 + 4y = -46 + 0 -18 + 4y = -46 Add '18' to each side of the equation. -18 + 18 + 4y = -46 + 18 Combine like terms: -18 + 18 = 0 0 + 4y = -46 + 18 4y = -46 + 18 Combine like terms: -46 + 18 = -28 4y = -28 Divide each side by '4'. y = -7 Simplifying y = -7
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