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Simplifying 7 + -1(3.1 + -0.1y) = -0.2y 7 + (3.1 * -1 + -0.1y * -1) = -0.2y 7 + (-3.1 + 0.1y) = -0.2y Combine like terms: 7 + -3.1 = 3.9 3.9 + 0.1y = -0.2y Solving 3.9 + 0.1y = -0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.2y' to each side of the equation. 3.9 + 0.1y + 0.2y = -0.2y + 0.2y Combine like terms: 0.1y + 0.2y = 0.3y 3.9 + 0.3y = -0.2y + 0.2y Combine like terms: -0.2y + 0.2y = 0.0 3.9 + 0.3y = 0.0 Add '-3.9' to each side of the equation. 3.9 + -3.9 + 0.3y = 0.0 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 0.3y = 0.0 + -3.9 0.3y = 0.0 + -3.9 Combine like terms: 0.0 + -3.9 = -3.9 0.3y = -3.9 Divide each side by '0.3'. y = -13 Simplifying y = -13
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