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Simplifying 0.06(y + -8) + 0.20y = 0.16y + -0.9 Reorder the terms: 0.06(-8 + y) + 0.20y = 0.16y + -0.9 (-8 * 0.06 + y * 0.06) + 0.20y = 0.16y + -0.9 (-0.48 + 0.06y) + 0.20y = 0.16y + -0.9 Combine like terms: 0.06y + 0.20y = 0.26y -0.48 + 0.26y = 0.16y + -0.9 Reorder the terms: -0.48 + 0.26y = -0.9 + 0.16y Solving -0.48 + 0.26y = -0.9 + 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. -0.48 + 0.26y + -0.16y = -0.9 + 0.16y + -0.16y Combine like terms: 0.26y + -0.16y = 0.1y -0.48 + 0.1y = -0.9 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.48 + 0.1y = -0.9 + 0.00 -0.48 + 0.1y = -0.9 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.1y = -0.9 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.1y = -0.9 + 0.48 0.1y = -0.9 + 0.48 Combine like terms: -0.9 + 0.48 = -0.42 0.1y = -0.42 Divide each side by '0.1'. y = -4.2 Simplifying y = -4.2
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