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Simplifying 6y + 3(y + -2) = (3y + 1) + -2 Reorder the terms: 6y + 3(-2 + y) = (3y + 1) + -2 6y + (-2 * 3 + y * 3) = (3y + 1) + -2 6y + (-6 + 3y) = (3y + 1) + -2 Reorder the terms: -6 + 6y + 3y = (3y + 1) + -2 Combine like terms: 6y + 3y = 9y -6 + 9y = (3y + 1) + -2 Reorder the terms: -6 + 9y = (1 + 3y) + -2 Remove parenthesis around (1 + 3y) -6 + 9y = 1 + 3y + -2 Reorder the terms: -6 + 9y = 1 + -2 + 3y Combine like terms: 1 + -2 = -1 -6 + 9y = -1 + 3y Solving -6 + 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. -6 + 9y + -3y = -1 + 3y + -3y Combine like terms: 9y + -3y = 6y -6 + 6y = -1 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 6y = -1 + 0 -6 + 6y = -1 Add '6' to each side of the equation. -6 + 6 + 6y = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = -1 + 6 6y = -1 + 6 Combine like terms: -1 + 6 = 5 6y = 5 Divide each side by '6'. y = 0.8333333333 Simplifying y = 0.8333333333
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