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Simplifying 5 + 0.5(7 + -1y) = 1.2y + -7(y + -0.8) 5 + (7 * 0.5 + -1y * 0.5) = 1.2y + -7(y + -0.8) 5 + (3.5 + -0.5y) = 1.2y + -7(y + -0.8) Combine like terms: 5 + 3.5 = 8.5 8.5 + -0.5y = 1.2y + -7(y + -0.8) Reorder the terms: 8.5 + -0.5y = 1.2y + -7(-0.8 + y) 8.5 + -0.5y = 1.2y + (-0.8 * -7 + y * -7) 8.5 + -0.5y = 1.2y + (5.6 + -7y) Reorder the terms: 8.5 + -0.5y = 5.6 + 1.2y + -7y Combine like terms: 1.2y + -7y = -5.8y 8.5 + -0.5y = 5.6 + -5.8y Solving 8.5 + -0.5y = 5.6 + -5.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5.8y' to each side of the equation. 8.5 + -0.5y + 5.8y = 5.6 + -5.8y + 5.8y Combine like terms: -0.5y + 5.8y = 5.3y 8.5 + 5.3y = 5.6 + -5.8y + 5.8y Combine like terms: -5.8y + 5.8y = 0.0 8.5 + 5.3y = 5.6 + 0.0 8.5 + 5.3y = 5.6 Add '-8.5' to each side of the equation. 8.5 + -8.5 + 5.3y = 5.6 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 5.3y = 5.6 + -8.5 5.3y = 5.6 + -8.5 Combine like terms: 5.6 + -8.5 = -2.9 5.3y = -2.9 Divide each side by '5.3'. y = -0.5471698113 Simplifying y = -0.5471698113
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