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Simplifying 5y + -17 = 2y + 52 Reorder the terms: -17 + 5y = 2y + 52 Reorder the terms: -17 + 5y = 52 + 2y Solving -17 + 5y = 52 + 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. -17 + 5y + -2y = 52 + 2y + -2y Combine like terms: 5y + -2y = 3y -17 + 3y = 52 + 2y + -2y Combine like terms: 2y + -2y = 0 -17 + 3y = 52 + 0 -17 + 3y = 52 Add '17' to each side of the equation. -17 + 17 + 3y = 52 + 17 Combine like terms: -17 + 17 = 0 0 + 3y = 52 + 17 3y = 52 + 17 Combine like terms: 52 + 17 = 69 3y = 69 Divide each side by '3'. y = 23 Simplifying y = 23
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