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Simplifying 3(4y + -1) + -1(y + 2) = 6 Reorder the terms: 3(-1 + 4y) + -1(y + 2) = 6 (-1 * 3 + 4y * 3) + -1(y + 2) = 6 (-3 + 12y) + -1(y + 2) = 6 Reorder the terms: -3 + 12y + -1(2 + y) = 6 -3 + 12y + (2 * -1 + y * -1) = 6 -3 + 12y + (-2 + -1y) = 6 Reorder the terms: -3 + -2 + 12y + -1y = 6 Combine like terms: -3 + -2 = -5 -5 + 12y + -1y = 6 Combine like terms: 12y + -1y = 11y -5 + 11y = 6 Solving -5 + 11y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 11y = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 11y = 6 + 5 11y = 6 + 5 Combine like terms: 6 + 5 = 11 11y = 11 Divide each side by '11'. y = 1 Simplifying y = 1
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