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Simplifying 6(y + -2) = 3(2 + -1y) Reorder the terms: 6(-2 + y) = 3(2 + -1y) (-2 * 6 + y * 6) = 3(2 + -1y) (-12 + 6y) = 3(2 + -1y) -12 + 6y = (2 * 3 + -1y * 3) -12 + 6y = (6 + -3y) Solving -12 + 6y = 6 + -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. -12 + 6y + 3y = 6 + -3y + 3y Combine like terms: 6y + 3y = 9y -12 + 9y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 -12 + 9y = 6 + 0 -12 + 9y = 6 Add '12' to each side of the equation. -12 + 12 + 9y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = 6 + 12 9y = 6 + 12 Combine like terms: 6 + 12 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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