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Simplifying 4 + 0.5(1 + -1y) = 1.8y + -4(y + -0.5) 4 + (1 * 0.5 + -1y * 0.5) = 1.8y + -4(y + -0.5) 4 + (0.5 + -0.5y) = 1.8y + -4(y + -0.5) Combine like terms: 4 + 0.5 = 4.5 4.5 + -0.5y = 1.8y + -4(y + -0.5) Reorder the terms: 4.5 + -0.5y = 1.8y + -4(-0.5 + y) 4.5 + -0.5y = 1.8y + (-0.5 * -4 + y * -4) 4.5 + -0.5y = 1.8y + (2 + -4y) Reorder the terms: 4.5 + -0.5y = 2 + 1.8y + -4y Combine like terms: 1.8y + -4y = -2.2y 4.5 + -0.5y = 2 + -2.2y Solving 4.5 + -0.5y = 2 + -2.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.2y' to each side of the equation. 4.5 + -0.5y + 2.2y = 2 + -2.2y + 2.2y Combine like terms: -0.5y + 2.2y = 1.7y 4.5 + 1.7y = 2 + -2.2y + 2.2y Combine like terms: -2.2y + 2.2y = 0.0 4.5 + 1.7y = 2 + 0.0 4.5 + 1.7y = 2 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 1.7y = 2 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 1.7y = 2 + -4.5 1.7y = 2 + -4.5 Combine like terms: 2 + -4.5 = -2.5 1.7y = -2.5 Divide each side by '1.7'. y = -1.470588235 Simplifying y = -1.470588235
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