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Simplifying 2.5(4y + -6) = 0.5 + -1(-2 + -3) Reorder the terms: 2.5(-6 + 4y) = 0.5 + -1(-2 + -3) (-6 * 2.5 + 4y * 2.5) = 0.5 + -1(-2 + -3) (-15 + 10y) = 0.5 + -1(-2 + -3) Combine like terms: -2 + -3 = -5 -15 + 10y = 0.5 + -1(-5) Multiply -1 * -5 -15 + 10y = 0.5 + 5 Combine like terms: 0.5 + 5 = 5.5 -15 + 10y = 5.5 Solving -15 + 10y = 5.5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 10y = 5.5 + 15 Combine like terms: -15 + 15 = 0 0 + 10y = 5.5 + 15 10y = 5.5 + 15 Combine like terms: 5.5 + 15 = 20.5 10y = 20.5 Divide each side by '10'. y = 2.05 Simplifying y = 2.05
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