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Simplifying 0.16(y + -5) + 0.04y = 0.10y + -0.01(60) Reorder the terms: 0.16(-5 + y) + 0.04y = 0.10y + -0.01(60) (-5 * 0.16 + y * 0.16) + 0.04y = 0.10y + -0.01(60) (-0.8 + 0.16y) + 0.04y = 0.10y + -0.01(60) Combine like terms: 0.16y + 0.04y = 0.2y -0.8 + 0.2y = 0.10y + -0.01(60) Multiply -0.01 * 60 -0.8 + 0.2y = 0.10y + -0.6 Reorder the terms: -0.8 + 0.2y = -0.6 + 0.10y Solving -0.8 + 0.2y = -0.6 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.8 + 0.2y + -0.10y = -0.6 + 0.10y + -0.10y Combine like terms: 0.2y + -0.10y = 0.1y -0.8 + 0.1y = -0.6 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.8 + 0.1y = -0.6 + 0.00 -0.8 + 0.1y = -0.6 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.1y = -0.6 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.1y = -0.6 + 0.8 0.1y = -0.6 + 0.8 Combine like terms: -0.6 + 0.8 = 0.2 0.1y = 0.2 Divide each side by '0.1'. y = 2 Simplifying y = 2
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