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Simplifying 0.02(y + -6) + 0.04 = 0.16 + -0.07(10) Reorder the terms: 0.02(-6 + y) + 0.04 = 0.16 + -0.07(10) (-6 * 0.02 + y * 0.02) + 0.04 = 0.16 + -0.07(10) (-0.12 + 0.02y) + 0.04 = 0.16 + -0.07(10) Reorder the terms: -0.12 + 0.04 + 0.02y = 0.16 + -0.07(10) Combine like terms: -0.12 + 0.04 = -0.08 -0.08 + 0.02y = 0.16 + -0.07(10) Multiply -0.07 * 10 -0.08 + 0.02y = 0.16 + -0.7 Combine like terms: 0.16 + -0.7 = -0.54 -0.08 + 0.02y = -0.54 Solving -0.08 + 0.02y = -0.54 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 + 0.02y = -0.54 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.02y = -0.54 + 0.08 0.02y = -0.54 + 0.08 Combine like terms: -0.54 + 0.08 = -0.46 0.02y = -0.46 Divide each side by '0.02'. y = -23 Simplifying y = -23
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