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Simplifying 0.3(8y + -2) + 0.16(2y + 7) = 0 Reorder the terms: 0.3(-2 + 8y) + 0.16(2y + 7) = 0 (-2 * 0.3 + 8y * 0.3) + 0.16(2y + 7) = 0 (-0.6 + 2.4y) + 0.16(2y + 7) = 0 Reorder the terms: -0.6 + 2.4y + 0.16(7 + 2y) = 0 -0.6 + 2.4y + (7 * 0.16 + 2y * 0.16) = 0 -0.6 + 2.4y + (1.12 + 0.32y) = 0 Reorder the terms: -0.6 + 1.12 + 2.4y + 0.32y = 0 Combine like terms: -0.6 + 1.12 = 0.52 0.52 + 2.4y + 0.32y = 0 Combine like terms: 2.4y + 0.32y = 2.72y 0.52 + 2.72y = 0 Solving 0.52 + 2.72y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.52' to each side of the equation. 0.52 + -0.52 + 2.72y = 0 + -0.52 Combine like terms: 0.52 + -0.52 = 0.00 0.00 + 2.72y = 0 + -0.52 2.72y = 0 + -0.52 Combine like terms: 0 + -0.52 = -0.52 2.72y = -0.52 Divide each side by '2.72'. y = -0.1911764706 Simplifying y = -0.1911764706
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