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Simplifying 18 + -0.5(y + -9) = 0.7(10y + -9) Reorder the terms: 18 + -0.5(-9 + y) = 0.7(10y + -9) 18 + (-9 * -0.5 + y * -0.5) = 0.7(10y + -9) 18 + (4.5 + -0.5y) = 0.7(10y + -9) Combine like terms: 18 + 4.5 = 22.5 22.5 + -0.5y = 0.7(10y + -9) Reorder the terms: 22.5 + -0.5y = 0.7(-9 + 10y) 22.5 + -0.5y = (-9 * 0.7 + 10y * 0.7) 22.5 + -0.5y = (-6.3 + 7y) Solving 22.5 + -0.5y = -6.3 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 22.5 + -0.5y + -7y = -6.3 + 7y + -7y Combine like terms: -0.5y + -7y = -7.5y 22.5 + -7.5y = -6.3 + 7y + -7y Combine like terms: 7y + -7y = 0 22.5 + -7.5y = -6.3 + 0 22.5 + -7.5y = -6.3 Add '-22.5' to each side of the equation. 22.5 + -22.5 + -7.5y = -6.3 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -7.5y = -6.3 + -22.5 -7.5y = -6.3 + -22.5 Combine like terms: -6.3 + -22.5 = -28.8 -7.5y = -28.8 Divide each side by '-7.5'. y = 3.84 Simplifying y = 3.84
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