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Simplifying 0.06(y + -6) + 0.18y = 0.20y + -0.07(10) Reorder the terms: 0.06(-6 + y) + 0.18y = 0.20y + -0.07(10) (-6 * 0.06 + y * 0.06) + 0.18y = 0.20y + -0.07(10) (-0.36 + 0.06y) + 0.18y = 0.20y + -0.07(10) Combine like terms: 0.06y + 0.18y = 0.24y -0.36 + 0.24y = 0.20y + -0.07(10) Multiply -0.07 * 10 -0.36 + 0.24y = 0.20y + -0.7 Reorder the terms: -0.36 + 0.24y = -0.7 + 0.20y Solving -0.36 + 0.24y = -0.7 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.36 + 0.24y + -0.20y = -0.7 + 0.20y + -0.20y Combine like terms: 0.24y + -0.20y = 0.04y -0.36 + 0.04y = -0.7 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.36 + 0.04y = -0.7 + 0.00 -0.36 + 0.04y = -0.7 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.04y = -0.7 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.04y = -0.7 + 0.36 0.04y = -0.7 + 0.36 Combine like terms: -0.7 + 0.36 = -0.34 0.04y = -0.34 Divide each side by '0.04'. y = -8.5 Simplifying y = -8.5
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