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Simplifying 3(4y + -2) = 6 + 3(y + 1) Reorder the terms: 3(-2 + 4y) = 6 + 3(y + 1) (-2 * 3 + 4y * 3) = 6 + 3(y + 1) (-6 + 12y) = 6 + 3(y + 1) Reorder the terms: -6 + 12y = 6 + 3(1 + y) -6 + 12y = 6 + (1 * 3 + y * 3) -6 + 12y = 6 + (3 + 3y) Combine like terms: 6 + 3 = 9 -6 + 12y = 9 + 3y Solving -6 + 12y = 9 + 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 + 12y + -3y = 9 + 3y + -3y Combine like terms: 12y + -3y = 9y -6 + 9y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 9y = 9 + 0 -6 + 9y = 9 Add '6' to each side of the equation. -6 + 6 + 9y = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 9y = 9 + 6 9y = 9 + 6 Combine like terms: 9 + 6 = 15 9y = 15 Divide each side by '9'. y = 1.666666667 Simplifying y = 1.666666667
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