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Simplifying 0.08(y + -4) + 0.04y = 0.02 + -0.01(10) Reorder the terms: 0.08(-4 + y) + 0.04y = 0.02 + -0.01(10) (-4 * 0.08 + y * 0.08) + 0.04y = 0.02 + -0.01(10) (-0.32 + 0.08y) + 0.04y = 0.02 + -0.01(10) Combine like terms: 0.08y + 0.04y = 0.12y -0.32 + 0.12y = 0.02 + -0.01(10) Multiply -0.01 * 10 -0.32 + 0.12y = 0.02 + -0.1 Combine like terms: 0.02 + -0.1 = -0.08 -0.32 + 0.12y = -0.08 Solving -0.32 + 0.12y = -0.08 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.12y = -0.08 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.12y = -0.08 + 0.32 0.12y = -0.08 + 0.32 Combine like terms: -0.08 + 0.32 = 0.24 0.12y = 0.24 Divide each side by '0.12'. y = 2 Simplifying y = 2
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