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Simplifying 0.2(11y + -4) + 0.1(8y + 11) = 0 Reorder the terms: 0.2(-4 + 11y) + 0.1(8y + 11) = 0 (-4 * 0.2 + 11y * 0.2) + 0.1(8y + 11) = 0 (-0.8 + 2.2y) + 0.1(8y + 11) = 0 Reorder the terms: -0.8 + 2.2y + 0.1(11 + 8y) = 0 -0.8 + 2.2y + (11 * 0.1 + 8y * 0.1) = 0 -0.8 + 2.2y + (1.1 + 0.8y) = 0 Reorder the terms: -0.8 + 1.1 + 2.2y + 0.8y = 0 Combine like terms: -0.8 + 1.1 = 0.3 0.3 + 2.2y + 0.8y = 0 Combine like terms: 2.2y + 0.8y = 3y 0.3 + 3y = 0 Solving 0.3 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 3y = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 3y = 0 + -0.3 3y = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 3y = -0.3 Divide each side by '3'. y = -0.1 Simplifying y = -0.1
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