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Simplifying 6(y + -2) = 2(4 + -1y) Reorder the terms: 6(-2 + y) = 2(4 + -1y) (-2 * 6 + y * 6) = 2(4 + -1y) (-12 + 6y) = 2(4 + -1y) -12 + 6y = (4 * 2 + -1y * 2) -12 + 6y = (8 + -2y) Solving -12 + 6y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -12 + 6y + 2y = 8 + -2y + 2y Combine like terms: 6y + 2y = 8y -12 + 8y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 -12 + 8y = 8 + 0 -12 + 8y = 8 Add '12' to each side of the equation. -12 + 12 + 8y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 8 + 12 8y = 8 + 12 Combine like terms: 8 + 12 = 20 8y = 20 Divide each side by '8'. y = 2.5 Simplifying y = 2.5
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