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Simplifying 5[y + 8] = 2y + 55 Reorder the terms: 5[8 + y] = 2y + 55 [8 * 5 + y * 5] = 2y + 55 [40 + 5y] = 2y + 55 Reorder the terms: 40 + 5y = 55 + 2y Solving 40 + 5y = 55 + 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. 40 + 5y + -2y = 55 + 2y + -2y Combine like terms: 5y + -2y = 3y 40 + 3y = 55 + 2y + -2y Combine like terms: 2y + -2y = 0 40 + 3y = 55 + 0 40 + 3y = 55 Add '-40' to each side of the equation. 40 + -40 + 3y = 55 + -40 Combine like terms: 40 + -40 = 0 0 + 3y = 55 + -40 3y = 55 + -40 Combine like terms: 55 + -40 = 15 3y = 15 Divide each side by '3'. y = 5 Simplifying y = 5
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