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Simplifying 6y + 3(y + -6) = 3(y + 1) + -2 Reorder the terms: 6y + 3(-6 + y) = 3(y + 1) + -2 6y + (-6 * 3 + y * 3) = 3(y + 1) + -2 6y + (-18 + 3y) = 3(y + 1) + -2 Reorder the terms: -18 + 6y + 3y = 3(y + 1) + -2 Combine like terms: 6y + 3y = 9y -18 + 9y = 3(y + 1) + -2 Reorder the terms: -18 + 9y = 3(1 + y) + -2 -18 + 9y = (1 * 3 + y * 3) + -2 -18 + 9y = (3 + 3y) + -2 Reorder the terms: -18 + 9y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -18 + 9y = 1 + 3y Solving -18 + 9y = 1 + 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 + 9y + -3y = 1 + 3y + -3y Combine like terms: 9y + -3y = 6y -18 + 6y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -18 + 6y = 1 + 0 -18 + 6y = 1 Add '18' to each side of the equation. -18 + 18 + 6y = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 6y = 1 + 18 6y = 1 + 18 Combine like terms: 1 + 18 = 19 6y = 19 Divide each side by '6'. y = 3.166666667 Simplifying y = 3.166666667
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