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Simplifying 0.75(2y + -7) + 0.5y = -9 Reorder the terms: 0.75(-7 + 2y) + 0.5y = -9 (-7 * 0.75 + 2y * 0.75) + 0.5y = -9 (-5.25 + 1.5y) + 0.5y = -9 Combine like terms: 1.5y + 0.5y = 2y -5.25 + 2y = -9 Solving -5.25 + 2y = -9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5.25' to each side of the equation. -5.25 + 5.25 + 2y = -9 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + 2y = -9 + 5.25 2y = -9 + 5.25 Combine like terms: -9 + 5.25 = -3.75 2y = -3.75 Divide each side by '2'. y = -1.875 Simplifying y = -1.875
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