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Simplifying 6(y + 3) = 22 + -1(2 + -3y) Reorder the terms: 6(3 + y) = 22 + -1(2 + -3y) (3 * 6 + y * 6) = 22 + -1(2 + -3y) (18 + 6y) = 22 + -1(2 + -3y) 18 + 6y = 22 + (2 * -1 + -3y * -1) 18 + 6y = 22 + (-2 + 3y) Combine like terms: 22 + -2 = 20 18 + 6y = 20 + 3y Solving 18 + 6y = 20 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 18 + 6y + -3y = 20 + 3y + -3y Combine like terms: 6y + -3y = 3y 18 + 3y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 18 + 3y = 20 + 0 18 + 3y = 20 Add '-18' to each side of the equation. 18 + -18 + 3y = 20 + -18 Combine like terms: 18 + -18 = 0 0 + 3y = 20 + -18 3y = 20 + -18 Combine like terms: 20 + -18 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667
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