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Simplifying 0.02(y + -1) + 0.14y = 0.06y + -0.9 Reorder the terms: 0.02(-1 + y) + 0.14y = 0.06y + -0.9 (-1 * 0.02 + y * 0.02) + 0.14y = 0.06y + -0.9 (-0.02 + 0.02y) + 0.14y = 0.06y + -0.9 Combine like terms: 0.02y + 0.14y = 0.16y -0.02 + 0.16y = 0.06y + -0.9 Reorder the terms: -0.02 + 0.16y = -0.9 + 0.06y Solving -0.02 + 0.16y = -0.9 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.02 + 0.16y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.16y + -0.06y = 0.1y -0.02 + 0.1y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.02 + 0.1y = -0.9 + 0.00 -0.02 + 0.1y = -0.9 Add '0.02' to each side of the equation. -0.02 + 0.02 + 0.1y = -0.9 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + 0.1y = -0.9 + 0.02 0.1y = -0.9 + 0.02 Combine like terms: -0.9 + 0.02 = -0.88 0.1y = -0.88 Divide each side by '0.1'. y = -8.8 Simplifying y = -8.8
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