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Simplifying 0.20(y + -5) + 0.04 = 0.16y + -0.7 Reorder the terms: 0.20(-5 + y) + 0.04 = 0.16y + -0.7 (-5 * 0.20 + y * 0.20) + 0.04 = 0.16y + -0.7 (-1 + 0.20y) + 0.04 = 0.16y + -0.7 Reorder the terms: -1 + 0.04 + 0.20y = 0.16y + -0.7 Combine like terms: -1 + 0.04 = -0.96 -0.96 + 0.20y = 0.16y + -0.7 Reorder the terms: -0.96 + 0.20y = -0.7 + 0.16y Solving -0.96 + 0.20y = -0.7 + 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. -0.96 + 0.20y + -0.16y = -0.7 + 0.16y + -0.16y Combine like terms: 0.20y + -0.16y = 0.04y -0.96 + 0.04y = -0.7 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.96 + 0.04y = -0.7 + 0.00 -0.96 + 0.04y = -0.7 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.04y = -0.7 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.04y = -0.7 + 0.96 0.04y = -0.7 + 0.96 Combine like terms: -0.7 + 0.96 = 0.26 0.04y = 0.26 Divide each side by '0.04'. y = 6.5 Simplifying y = 6.5
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