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Simplifying 7y + 8 = 3y + 44 Reorder the terms: 8 + 7y = 3y + 44 Reorder the terms: 8 + 7y = 44 + 3y Solving 8 + 7y = 44 + 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. 8 + 7y + -3y = 44 + 3y + -3y Combine like terms: 7y + -3y = 4y 8 + 4y = 44 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 4y = 44 + 0 8 + 4y = 44 Add '-8' to each side of the equation. 8 + -8 + 4y = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = 44 + -8 4y = 44 + -8 Combine like terms: 44 + -8 = 36 4y = 36 Divide each side by '4'. y = 9 Simplifying y = 9
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