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Simplifying 2(y + 31) = 6(y + 3) Reorder the terms: 2(31 + y) = 6(y + 3) (31 * 2 + y * 2) = 6(y + 3) (62 + 2y) = 6(y + 3) Reorder the terms: 62 + 2y = 6(3 + y) 62 + 2y = (3 * 6 + y * 6) 62 + 2y = (18 + 6y) Solving 62 + 2y = 18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 62 + 2y + -6y = 18 + 6y + -6y Combine like terms: 2y + -6y = -4y 62 + -4y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 62 + -4y = 18 + 0 62 + -4y = 18 Add '-62' to each side of the equation. 62 + -62 + -4y = 18 + -62 Combine like terms: 62 + -62 = 0 0 + -4y = 18 + -62 -4y = 18 + -62 Combine like terms: 18 + -62 = -44 -4y = -44 Divide each side by '-4'. y = 11 Simplifying y = 11
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