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Simplifying 0.16(y + -2) + 0.04 = 0.10y + -0.07(10) Reorder the terms: 0.16(-2 + y) + 0.04 = 0.10y + -0.07(10) (-2 * 0.16 + y * 0.16) + 0.04 = 0.10y + -0.07(10) (-0.32 + 0.16y) + 0.04 = 0.10y + -0.07(10) Reorder the terms: -0.32 + 0.04 + 0.16y = 0.10y + -0.07(10) Combine like terms: -0.32 + 0.04 = -0.28 -0.28 + 0.16y = 0.10y + -0.07(10) Multiply -0.07 * 10 -0.28 + 0.16y = 0.10y + -0.7 Reorder the terms: -0.28 + 0.16y = -0.7 + 0.10y Solving -0.28 + 0.16y = -0.7 + 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. -0.28 + 0.16y + -0.10y = -0.7 + 0.10y + -0.10y Combine like terms: 0.16y + -0.10y = 0.06y -0.28 + 0.06y = -0.7 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.28 + 0.06y = -0.7 + 0.00 -0.28 + 0.06y = -0.7 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.06y = -0.7 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.06y = -0.7 + 0.28 0.06y = -0.7 + 0.28 Combine like terms: -0.7 + 0.28 = -0.42 0.06y = -0.42 Divide each side by '0.06'. y = -7 Simplifying y = -7
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