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Simplifying 1.5y + 0.5(y + -4) = 6 Reorder the terms: 1.5y + 0.5(-4 + y) = 6 1.5y + (-4 * 0.5 + y * 0.5) = 6 1.5y + (-2 + 0.5y) = 6 Reorder the terms: -2 + 1.5y + 0.5y = 6 Combine like terms: 1.5y + 0.5y = 2y -2 + 2y = 6 Solving -2 + 2y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2y = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 6 + 2 2y = 6 + 2 Combine like terms: 6 + 2 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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