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Simplifying 0.16(y + -5) + 0.10y = 0.06y + -1 Reorder the terms: 0.16(-5 + y) + 0.10y = 0.06y + -1 (-5 * 0.16 + y * 0.16) + 0.10y = 0.06y + -1 (-0.8 + 0.16y) + 0.10y = 0.06y + -1 Combine like terms: 0.16y + 0.10y = 0.26y -0.8 + 0.26y = 0.06y + -1 Reorder the terms: -0.8 + 0.26y = -1 + 0.06y Solving -0.8 + 0.26y = -1 + 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. -0.8 + 0.26y + -0.06y = -1 + 0.06y + -0.06y Combine like terms: 0.26y + -0.06y = 0.2y -0.8 + 0.2y = -1 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.8 + 0.2y = -1 + 0.00 -0.8 + 0.2y = -1 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.2y = -1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.2y = -1 + 0.8 0.2y = -1 + 0.8 Combine like terms: -1 + 0.8 = -0.2 0.2y = -0.2 Divide each side by '0.2'. y = -1 Simplifying y = -1
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