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Simplifying 0.02(y + -4) + 0.06y = 0.10 + -0.01(10) Reorder the terms: 0.02(-4 + y) + 0.06y = 0.10 + -0.01(10) (-4 * 0.02 + y * 0.02) + 0.06y = 0.10 + -0.01(10) (-0.08 + 0.02y) + 0.06y = 0.10 + -0.01(10) Combine like terms: 0.02y + 0.06y = 0.08y -0.08 + 0.08y = 0.10 + -0.01(10) Multiply -0.01 * 10 -0.08 + 0.08y = 0.10 + -0.1 Combine like terms: 0.10 + -0.1 = 0.00 -0.08 + 0.08y = 0.00 Solving -0.08 + 0.08y = 0.00 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.08y = 0.00 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.08y = 0.00 + 0.08 0.08y = 0.00 + 0.08 Combine like terms: 0.00 + 0.08 = 0.08 0.08y = 0.08 Divide each side by '0.08'. y = 1 Simplifying y = 1
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