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Simplifying 0.04(y + -7) + 0.20y = 0.18 + -0.01(10) Reorder the terms: 0.04(-7 + y) + 0.20y = 0.18 + -0.01(10) (-7 * 0.04 + y * 0.04) + 0.20y = 0.18 + -0.01(10) (-0.28 + 0.04y) + 0.20y = 0.18 + -0.01(10) Combine like terms: 0.04y + 0.20y = 0.24y -0.28 + 0.24y = 0.18 + -0.01(10) Multiply -0.01 * 10 -0.28 + 0.24y = 0.18 + -0.1 Combine like terms: 0.18 + -0.1 = 0.08 -0.28 + 0.24y = 0.08 Solving -0.28 + 0.24y = 0.08 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.24y = 0.08 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.24y = 0.08 + 0.28 0.24y = 0.08 + 0.28 Combine like terms: 0.08 + 0.28 = 0.36 0.24y = 0.36 Divide each side by '0.24'. y = 1.5 Simplifying y = 1.5
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