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Simplifying 5(y + 7) = 2y + 44 Reorder the terms: 5(7 + y) = 2y + 44 (7 * 5 + y * 5) = 2y + 44 (35 + 5y) = 2y + 44 Reorder the terms: 35 + 5y = 44 + 2y Solving 35 + 5y = 44 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 35 + 5y + -2y = 44 + 2y + -2y Combine like terms: 5y + -2y = 3y 35 + 3y = 44 + 2y + -2y Combine like terms: 2y + -2y = 0 35 + 3y = 44 + 0 35 + 3y = 44 Add '-35' to each side of the equation. 35 + -35 + 3y = 44 + -35 Combine like terms: 35 + -35 = 0 0 + 3y = 44 + -35 3y = 44 + -35 Combine like terms: 44 + -35 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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