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Simplifying 0.08(y + -4) + 0.12y = 0.10y + -0.01(30) Reorder the terms: 0.08(-4 + y) + 0.12y = 0.10y + -0.01(30) (-4 * 0.08 + y * 0.08) + 0.12y = 0.10y + -0.01(30) (-0.32 + 0.08y) + 0.12y = 0.10y + -0.01(30) Combine like terms: 0.08y + 0.12y = 0.2y -0.32 + 0.2y = 0.10y + -0.01(30) Multiply -0.01 * 30 -0.32 + 0.2y = 0.10y + -0.3 Reorder the terms: -0.32 + 0.2y = -0.3 + 0.10y Solving -0.32 + 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. -0.32 + 0.2y + -0.10y = -0.3 + 0.10y + -0.10y Combine like terms: 0.2y + -0.10y = 0.1y -0.32 + 0.1y = -0.3 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.32 + 0.1y = -0.3 + 0.00 -0.32 + 0.1y = -0.3 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.1y = -0.3 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.1y = -0.3 + 0.32 0.1y = -0.3 + 0.32 Combine like terms: -0.3 + 0.32 = 0.02 0.1y = 0.02 Divide each side by '0.1'. y = 0.2 Simplifying y = 0.2
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