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Simplifying 0.14(y + -5) + 0.06y = 0.10y + -0.01(30) Reorder the terms: 0.14(-5 + y) + 0.06y = 0.10y + -0.01(30) (-5 * 0.14 + y * 0.14) + 0.06y = 0.10y + -0.01(30) (-0.7 + 0.14y) + 0.06y = 0.10y + -0.01(30) Combine like terms: 0.14y + 0.06y = 0.2y -0.7 + 0.2y = 0.10y + -0.01(30) Multiply -0.01 * 30 -0.7 + 0.2y = 0.10y + -0.3 Reorder the terms: -0.7 + 0.2y = -0.3 + 0.10y Solving -0.7 + 0.2y = -0.3 + 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. -0.7 + 0.2y + -0.10y = -0.3 + 0.10y + -0.10y Combine like terms: 0.2y + -0.10y = 0.1y -0.7 + 0.1y = -0.3 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.7 + 0.1y = -0.3 + 0.00 -0.7 + 0.1y = -0.3 Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.1y = -0.3 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.1y = -0.3 + 0.7 0.1y = -0.3 + 0.7 Combine like terms: -0.3 + 0.7 = 0.4 0.1y = 0.4 Divide each side by '0.1'. y = 4 Simplifying y = 4
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