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Simplifying 0.2(7y + -2) + 0.1(6y + 6) = 0 Reorder the terms: 0.2(-2 + 7y) + 0.1(6y + 6) = 0 (-2 * 0.2 + 7y * 0.2) + 0.1(6y + 6) = 0 (-0.4 + 1.4y) + 0.1(6y + 6) = 0 Reorder the terms: -0.4 + 1.4y + 0.1(6 + 6y) = 0 -0.4 + 1.4y + (6 * 0.1 + 6y * 0.1) = 0 -0.4 + 1.4y + (0.6 + 0.6y) = 0 Reorder the terms: -0.4 + 0.6 + 1.4y + 0.6y = 0 Combine like terms: -0.4 + 0.6 = 0.2 0.2 + 1.4y + 0.6y = 0 Combine like terms: 1.4y + 0.6y = 2y 0.2 + 2y = 0 Solving 0.2 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 2y = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 2y = 0 + -0.2 2y = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 2y = -0.2 Divide each side by '2'. y = -0.1 Simplifying y = -0.1
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