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Simplifying -3.5(y + 3) = 7.5 + 2.5y Reorder the terms: -3.5(3 + y) = 7.5 + 2.5y (3 * -3.5 + y * -3.5) = 7.5 + 2.5y (-10.5 + -3.5y) = 7.5 + 2.5y Solving -10.5 + -3.5y = 7.5 + 2.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.5y' to each side of the equation. -10.5 + -3.5y + -2.5y = 7.5 + 2.5y + -2.5y Combine like terms: -3.5y + -2.5y = -6y -10.5 + -6y = 7.5 + 2.5y + -2.5y Combine like terms: 2.5y + -2.5y = 0.0 -10.5 + -6y = 7.5 + 0.0 -10.5 + -6y = 7.5 Add '10.5' to each side of the equation. -10.5 + 10.5 + -6y = 7.5 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + -6y = 7.5 + 10.5 -6y = 7.5 + 10.5 Combine like terms: 7.5 + 10.5 = 18 -6y = 18 Divide each side by '-6'. y = -3 Simplifying y = -3
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