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Simplifying 0.10(y + -2) + 0.16y = 0.06y + -0.9 Reorder the terms: 0.10(-2 + y) + 0.16y = 0.06y + -0.9 (-2 * 0.10 + y * 0.10) + 0.16y = 0.06y + -0.9 (-0.2 + 0.10y) + 0.16y = 0.06y + -0.9 Combine like terms: 0.10y + 0.16y = 0.26y -0.2 + 0.26y = 0.06y + -0.9 Reorder the terms: -0.2 + 0.26y = -0.9 + 0.06y Solving -0.2 + 0.26y = -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. -0.2 + 0.26y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -0.2 + 0.2y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.2 + 0.2y = -0.9 + 0.00 -0.2 + 0.2y = -0.9 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.2y = -0.9 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.2y = -0.9 + 0.2 0.2y = -0.9 + 0.2 Combine like terms: -0.9 + 0.2 = -0.7 0.2y = -0.7 Divide each side by '0.2'. y = -3.5 Simplifying y = -3.5
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