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Simplifying 0.04(y + -4) + 0.14y = 0.02y + -1.2 Reorder the terms: 0.04(-4 + y) + 0.14y = 0.02y + -1.2 (-4 * 0.04 + y * 0.04) + 0.14y = 0.02y + -1.2 (-0.16 + 0.04y) + 0.14y = 0.02y + -1.2 Combine like terms: 0.04y + 0.14y = 0.18y -0.16 + 0.18y = 0.02y + -1.2 Reorder the terms: -0.16 + 0.18y = -1.2 + 0.02y Solving -0.16 + 0.18y = -1.2 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.16 + 0.18y + -0.02y = -1.2 + 0.02y + -0.02y Combine like terms: 0.18y + -0.02y = 0.16y -0.16 + 0.16y = -1.2 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.16 + 0.16y = -1.2 + 0.00 -0.16 + 0.16y = -1.2 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.16y = -1.2 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.16y = -1.2 + 0.16 0.16y = -1.2 + 0.16 Combine like terms: -1.2 + 0.16 = -1.04 0.16y = -1.04 Divide each side by '0.16'. y = -6.5 Simplifying y = -6.5
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