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Simplifying 0.20(y + -5) + 0.06y = 0.16y + -2 Reorder the terms: 0.20(-5 + y) + 0.06y = 0.16y + -2 (-5 * 0.20 + y * 0.20) + 0.06y = 0.16y + -2 (-1 + 0.20y) + 0.06y = 0.16y + -2 Combine like terms: 0.20y + 0.06y = 0.26y -1 + 0.26y = 0.16y + -2 Reorder the terms: -1 + 0.26y = -2 + 0.16y Solving -1 + 0.26y = -2 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -1 + 0.26y + -0.16y = -2 + 0.16y + -0.16y Combine like terms: 0.26y + -0.16y = 0.1y -1 + 0.1y = -2 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -1 + 0.1y = -2 + 0.00 -1 + 0.1y = -2 Add '1' to each side of the equation. -1 + 1 + 0.1y = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 0.1y = -2 + 1 0.1y = -2 + 1 Combine like terms: -2 + 1 = -1 0.1y = -1 Divide each side by '0.1'. y = -10 Simplifying y = -10
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