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Simplifying 6y + 3(y + -8) = 3(y + 1) + -2 Reorder the terms: 6y + 3(-8 + y) = 3(y + 1) + -2 6y + (-8 * 3 + y * 3) = 3(y + 1) + -2 6y + (-24 + 3y) = 3(y + 1) + -2 Reorder the terms: -24 + 6y + 3y = 3(y + 1) + -2 Combine like terms: 6y + 3y = 9y -24 + 9y = 3(y + 1) + -2 Reorder the terms: -24 + 9y = 3(1 + y) + -2 -24 + 9y = (1 * 3 + y * 3) + -2 -24 + 9y = (3 + 3y) + -2 Reorder the terms: -24 + 9y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -24 + 9y = 1 + 3y Solving -24 + 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. -24 + 9y + -3y = 1 + 3y + -3y Combine like terms: 9y + -3y = 6y -24 + 6y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 6y = 1 + 0 -24 + 6y = 1 Add '24' to each side of the equation. -24 + 24 + 6y = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 6y = 1 + 24 6y = 1 + 24 Combine like terms: 1 + 24 = 25 6y = 25 Divide each side by '6'. y = 4.166666667 Simplifying y = 4.166666667
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