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Simplifying 0.06(y + -1) + 0.08y = 0.04y + -0.03(30) Reorder the terms: 0.06(-1 + y) + 0.08y = 0.04y + -0.03(30) (-1 * 0.06 + y * 0.06) + 0.08y = 0.04y + -0.03(30) (-0.06 + 0.06y) + 0.08y = 0.04y + -0.03(30) Combine like terms: 0.06y + 0.08y = 0.14y -0.06 + 0.14y = 0.04y + -0.03(30) Multiply -0.03 * 30 -0.06 + 0.14y = 0.04y + -0.9 Reorder the terms: -0.06 + 0.14y = -0.9 + 0.04y Solving -0.06 + 0.14y = -0.9 + 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. -0.06 + 0.14y + -0.04y = -0.9 + 0.04y + -0.04y Combine like terms: 0.14y + -0.04y = 0.1y -0.06 + 0.1y = -0.9 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.06 + 0.1y = -0.9 + 0.00 -0.06 + 0.1y = -0.9 Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.1y = -0.9 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.1y = -0.9 + 0.06 0.1y = -0.9 + 0.06 Combine like terms: -0.9 + 0.06 = -0.84 0.1y = -0.84 Divide each side by '0.1'. y = -8.4 Simplifying y = -8.4
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