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Simplifying 3y + -52 = y + 10 Reorder the terms: -52 + 3y = y + 10 Reorder the terms: -52 + 3y = 10 + y Solving -52 + 3y = 10 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -52 + 3y + -1y = 10 + y + -1y Combine like terms: 3y + -1y = 2y -52 + 2y = 10 + y + -1y Combine like terms: y + -1y = 0 -52 + 2y = 10 + 0 -52 + 2y = 10 Add '52' to each side of the equation. -52 + 52 + 2y = 10 + 52 Combine like terms: -52 + 52 = 0 0 + 2y = 10 + 52 2y = 10 + 52 Combine like terms: 10 + 52 = 62 2y = 62 Divide each side by '2'. y = 31 Simplifying y = 31
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