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Simplifying 6(y + 3) = 2(y + 31) Reorder the terms: 6(3 + y) = 2(y + 31) (3 * 6 + y * 6) = 2(y + 31) (18 + 6y) = 2(y + 31) Reorder the terms: 18 + 6y = 2(31 + y) 18 + 6y = (31 * 2 + y * 2) 18 + 6y = (62 + 2y) Solving 18 + 6y = 62 + 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. 18 + 6y + -2y = 62 + 2y + -2y Combine like terms: 6y + -2y = 4y 18 + 4y = 62 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + 4y = 62 + 0 18 + 4y = 62 Add '-18' to each side of the equation. 18 + -18 + 4y = 62 + -18 Combine like terms: 18 + -18 = 0 0 + 4y = 62 + -18 4y = 62 + -18 Combine like terms: 62 + -18 = 44 4y = 44 Divide each side by '4'. y = 11 Simplifying y = 11
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