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Simplifying 41(y + -10) = y + -42 Reorder the terms: 41(-10 + y) = y + -42 (-10 * 41 + y * 41) = y + -42 (-410 + 41y) = y + -42 Reorder the terms: -410 + 41y = -42 + y Solving -410 + 41y = -42 + 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. -410 + 41y + -1y = -42 + y + -1y Combine like terms: 41y + -1y = 40y -410 + 40y = -42 + y + -1y Combine like terms: y + -1y = 0 -410 + 40y = -42 + 0 -410 + 40y = -42 Add '410' to each side of the equation. -410 + 410 + 40y = -42 + 410 Combine like terms: -410 + 410 = 0 0 + 40y = -42 + 410 40y = -42 + 410 Combine like terms: -42 + 410 = 368 40y = 368 Divide each side by '40'. y = 9.2 Simplifying y = 9.2
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