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Simplifying 0.02(y + -6) + 0.18y = 0.04y + -0.07(20) Reorder the terms: 0.02(-6 + y) + 0.18y = 0.04y + -0.07(20) (-6 * 0.02 + y * 0.02) + 0.18y = 0.04y + -0.07(20) (-0.12 + 0.02y) + 0.18y = 0.04y + -0.07(20) Combine like terms: 0.02y + 0.18y = 0.2y -0.12 + 0.2y = 0.04y + -0.07(20) Multiply -0.07 * 20 -0.12 + 0.2y = 0.04y + -1.4 Reorder the terms: -0.12 + 0.2y = -1.4 + 0.04y Solving -0.12 + 0.2y = -1.4 + 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. -0.12 + 0.2y + -0.04y = -1.4 + 0.04y + -0.04y Combine like terms: 0.2y + -0.04y = 0.16y -0.12 + 0.16y = -1.4 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.12 + 0.16y = -1.4 + 0.00 -0.12 + 0.16y = -1.4 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.16y = -1.4 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.16y = -1.4 + 0.12 0.16y = -1.4 + 0.12 Combine like terms: -1.4 + 0.12 = -1.28 0.16y = -1.28 Divide each side by '0.16'. y = -8 Simplifying y = -8
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