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Simplifying 2.4 = -9y + -0.5(-10y + 3) Reorder the terms: 2.4 = -9y + -0.5(3 + -10y) 2.4 = -9y + (3 * -0.5 + -10y * -0.5) 2.4 = -9y + (-1.5 + 5y) Reorder the terms: 2.4 = -1.5 + -9y + 5y Combine like terms: -9y + 5y = -4y 2.4 = -1.5 + -4y Solving 2.4 = -1.5 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 2.4 + 4y = -1.5 + -4y + 4y Combine like terms: -4y + 4y = 0 2.4 + 4y = -1.5 + 0 2.4 + 4y = -1.5 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 4y = -1.5 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 4y = -1.5 + -2.4 4y = -1.5 + -2.4 Combine like terms: -1.5 + -2.4 = -3.9 4y = -3.9 Divide each side by '4'. y = -0.975 Simplifying y = -0.975
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