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Simplifying 6(y + -1) = 3y + 12 Reorder the terms: 6(-1 + y) = 3y + 12 (-1 * 6 + y * 6) = 3y + 12 (-6 + 6y) = 3y + 12 Reorder the terms: -6 + 6y = 12 + 3y Solving -6 + 6y = 12 + 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 + 6y + -3y = 12 + 3y + -3y Combine like terms: 6y + -3y = 3y -6 + 3y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 3y = 12 + 0 -6 + 3y = 12 Add '6' to each side of the equation. -6 + 6 + 3y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3y = 12 + 6 3y = 12 + 6 Combine like terms: 12 + 6 = 18 3y = 18 Divide each side by '3'. y = 6 Simplifying y = 6
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