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Simplifying 0.02(y + -9) + 0.04 = 0.16y + -0.9 Reorder the terms: 0.02(-9 + y) + 0.04 = 0.16y + -0.9 (-9 * 0.02 + y * 0.02) + 0.04 = 0.16y + -0.9 (-0.18 + 0.02y) + 0.04 = 0.16y + -0.9 Reorder the terms: -0.18 + 0.04 + 0.02y = 0.16y + -0.9 Combine like terms: -0.18 + 0.04 = -0.14 -0.14 + 0.02y = 0.16y + -0.9 Reorder the terms: -0.14 + 0.02y = -0.9 + 0.16y Solving -0.14 + 0.02y = -0.9 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.14 + 0.02y + -0.16y = -0.9 + 0.16y + -0.16y Combine like terms: 0.02y + -0.16y = -0.14y -0.14 + -0.14y = -0.9 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.14 + -0.14y = -0.9 + 0.00 -0.14 + -0.14y = -0.9 Add '0.14' to each side of the equation. -0.14 + 0.14 + -0.14y = -0.9 + 0.14 Combine like terms: -0.14 + 0.14 = 0.00 0.00 + -0.14y = -0.9 + 0.14 -0.14y = -0.9 + 0.14 Combine like terms: -0.9 + 0.14 = -0.76 -0.14y = -0.76 Divide each side by '-0.14'. y = 5.428571429 Simplifying y = 5.428571429
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