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Simplifying 53(y + -31) = y + -76 Reorder the terms: 53(-31 + y) = y + -76 (-31 * 53 + y * 53) = y + -76 (-1643 + 53y) = y + -76 Reorder the terms: -1643 + 53y = -76 + y Solving -1643 + 53y = -76 + 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. -1643 + 53y + -1y = -76 + y + -1y Combine like terms: 53y + -1y = 52y -1643 + 52y = -76 + y + -1y Combine like terms: y + -1y = 0 -1643 + 52y = -76 + 0 -1643 + 52y = -76 Add '1643' to each side of the equation. -1643 + 1643 + 52y = -76 + 1643 Combine like terms: -1643 + 1643 = 0 0 + 52y = -76 + 1643 52y = -76 + 1643 Combine like terms: -76 + 1643 = 1567 52y = 1567 Divide each side by '52'. y = 30.13461538 Simplifying y = 30.13461538
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