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Simplifying 0.18(y + -2) + 0.10y = 0.04y + -0.03(70) Reorder the terms: 0.18(-2 + y) + 0.10y = 0.04y + -0.03(70) (-2 * 0.18 + y * 0.18) + 0.10y = 0.04y + -0.03(70) (-0.36 + 0.18y) + 0.10y = 0.04y + -0.03(70) Combine like terms: 0.18y + 0.10y = 0.28y -0.36 + 0.28y = 0.04y + -0.03(70) Multiply -0.03 * 70 -0.36 + 0.28y = 0.04y + -2.1 Reorder the terms: -0.36 + 0.28y = -2.1 + 0.04y Solving -0.36 + 0.28y = -2.1 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.36 + 0.28y + -0.04y = -2.1 + 0.04y + -0.04y Combine like terms: 0.28y + -0.04y = 0.24y -0.36 + 0.24y = -2.1 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.36 + 0.24y = -2.1 + 0.00 -0.36 + 0.24y = -2.1 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.24y = -2.1 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.24y = -2.1 + 0.36 0.24y = -2.1 + 0.36 Combine like terms: -2.1 + 0.36 = -1.74 0.24y = -1.74 Divide each side by '0.24'. y = -7.25 Simplifying y = -7.25
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