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Simplifying 0.5(3y + -2) + 0.25(6y + 7) = 0 Reorder the terms: 0.5(-2 + 3y) + 0.25(6y + 7) = 0 (-2 * 0.5 + 3y * 0.5) + 0.25(6y + 7) = 0 (-1 + 1.5y) + 0.25(6y + 7) = 0 Reorder the terms: -1 + 1.5y + 0.25(7 + 6y) = 0 -1 + 1.5y + (7 * 0.25 + 6y * 0.25) = 0 -1 + 1.5y + (1.75 + 1.5y) = 0 Reorder the terms: -1 + 1.75 + 1.5y + 1.5y = 0 Combine like terms: -1 + 1.75 = 0.75 0.75 + 1.5y + 1.5y = 0 Combine like terms: 1.5y + 1.5y = 3y 0.75 + 3y = 0 Solving 0.75 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + 3y = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 3y = 0 + -0.75 3y = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 3y = -0.75 Divide each side by '3'. y = -0.25 Simplifying y = -0.25
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