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Simplifying 31(y + 2) = 11(y + 7) Reorder the terms: 31(2 + y) = 11(y + 7) (2 * 31 + y * 31) = 11(y + 7) (62 + 31y) = 11(y + 7) Reorder the terms: 62 + 31y = 11(7 + y) 62 + 31y = (7 * 11 + y * 11) 62 + 31y = (77 + 11y) Solving 62 + 31y = 77 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 62 + 31y + -11y = 77 + 11y + -11y Combine like terms: 31y + -11y = 20y 62 + 20y = 77 + 11y + -11y Combine like terms: 11y + -11y = 0 62 + 20y = 77 + 0 62 + 20y = 77 Add '-62' to each side of the equation. 62 + -62 + 20y = 77 + -62 Combine like terms: 62 + -62 = 0 0 + 20y = 77 + -62 20y = 77 + -62 Combine like terms: 77 + -62 = 15 20y = 15 Divide each side by '20'. y = 0.75 Simplifying y = 0.75
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