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Simplifying 0.02(y + -7) + 0.06y = 0.1y + -0.2 Reorder the terms: 0.02(-7 + y) + 0.06y = 0.1y + -0.2 (-7 * 0.02 + y * 0.02) + 0.06y = 0.1y + -0.2 (-0.14 + 0.02y) + 0.06y = 0.1y + -0.2 Combine like terms: 0.02y + 0.06y = 0.08y -0.14 + 0.08y = 0.1y + -0.2 Reorder the terms: -0.14 + 0.08y = -0.2 + 0.1y Solving -0.14 + 0.08y = -0.2 + 0.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.1y' to each side of the equation. -0.14 + 0.08y + -0.1y = -0.2 + 0.1y + -0.1y Combine like terms: 0.08y + -0.1y = -0.02y -0.14 + -0.02y = -0.2 + 0.1y + -0.1y Combine like terms: 0.1y + -0.1y = 0.0 -0.14 + -0.02y = -0.2 + 0.0 -0.14 + -0.02y = -0.2 Add '0.14' to each side of the equation. -0.14 + 0.14 + -0.02y = -0.2 + 0.14 Combine like terms: -0.14 + 0.14 = 0.00 0.00 + -0.02y = -0.2 + 0.14 -0.02y = -0.2 + 0.14 Combine like terms: -0.2 + 0.14 = -0.06 -0.02y = -0.06 Divide each side by '-0.02'. y = 3 Simplifying y = 3
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