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Simplifying 0.06(y + -6) + 0.18 = 0.20y + -0.07(10) Reorder the terms: 0.06(-6 + y) + 0.18 = 0.20y + -0.07(10) (-6 * 0.06 + y * 0.06) + 0.18 = 0.20y + -0.07(10) (-0.36 + 0.06y) + 0.18 = 0.20y + -0.07(10) Reorder the terms: -0.36 + 0.18 + 0.06y = 0.20y + -0.07(10) Combine like terms: -0.36 + 0.18 = -0.18 -0.18 + 0.06y = 0.20y + -0.07(10) Multiply -0.07 * 10 -0.18 + 0.06y = 0.20y + -0.7 Reorder the terms: -0.18 + 0.06y = -0.7 + 0.20y Solving -0.18 + 0.06y = -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. -0.18 + 0.06y + -0.20y = -0.7 + 0.20y + -0.20y Combine like terms: 0.06y + -0.20y = -0.14y -0.18 + -0.14y = -0.7 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.18 + -0.14y = -0.7 + 0.00 -0.18 + -0.14y = -0.7 Add '0.18' to each side of the equation. -0.18 + 0.18 + -0.14y = -0.7 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + -0.14y = -0.7 + 0.18 -0.14y = -0.7 + 0.18 Combine like terms: -0.7 + 0.18 = -0.52 -0.14y = -0.52 Divide each side by '-0.14'. y = 3.714285714 Simplifying y = 3.714285714
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