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Simplifying (8y + -44) = (5y + 7) Reorder the terms: (-44 + 8y) = (5y + 7) Remove parenthesis around (-44 + 8y) -44 + 8y = (5y + 7) Reorder the terms: -44 + 8y = (7 + 5y) Remove parenthesis around (7 + 5y) -44 + 8y = 7 + 5y Solving -44 + 8y = 7 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -44 + 8y + -5y = 7 + 5y + -5y Combine like terms: 8y + -5y = 3y -44 + 3y = 7 + 5y + -5y Combine like terms: 5y + -5y = 0 -44 + 3y = 7 + 0 -44 + 3y = 7 Add '44' to each side of the equation. -44 + 44 + 3y = 7 + 44 Combine like terms: -44 + 44 = 0 0 + 3y = 7 + 44 3y = 7 + 44 Combine like terms: 7 + 44 = 51 3y = 51 Divide each side by '3'. y = 17 Simplifying y = 17
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