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Simplifying 2.5(4y + -6) = 0.5 + -1(-2 + -3y) Reorder the terms: 2.5(-6 + 4y) = 0.5 + -1(-2 + -3y) (-6 * 2.5 + 4y * 2.5) = 0.5 + -1(-2 + -3y) (-15 + 10y) = 0.5 + -1(-2 + -3y) -15 + 10y = 0.5 + (-2 * -1 + -3y * -1) -15 + 10y = 0.5 + (2 + 3y) Combine like terms: 0.5 + 2 = 2.5 -15 + 10y = 2.5 + 3y Solving -15 + 10y = 2.5 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -15 + 10y + -3y = 2.5 + 3y + -3y Combine like terms: 10y + -3y = 7y -15 + 7y = 2.5 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 7y = 2.5 + 0 -15 + 7y = 2.5 Add '15' to each side of the equation. -15 + 15 + 7y = 2.5 + 15 Combine like terms: -15 + 15 = 0 0 + 7y = 2.5 + 15 7y = 2.5 + 15 Combine like terms: 2.5 + 15 = 17.5 7y = 17.5 Divide each side by '7'. y = 2.5 Simplifying y = 2.5
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