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Simplifying 0.16(y + -4) + 0.2 = 0.10y + -0.03(10) Reorder the terms: 0.16(-4 + y) + 0.2 = 0.10y + -0.03(10) (-4 * 0.16 + y * 0.16) + 0.2 = 0.10y + -0.03(10) (-0.64 + 0.16y) + 0.2 = 0.10y + -0.03(10) Reorder the terms: -0.64 + 0.2 + 0.16y = 0.10y + -0.03(10) Combine like terms: -0.64 + 0.2 = -0.44 -0.44 + 0.16y = 0.10y + -0.03(10) Multiply -0.03 * 10 -0.44 + 0.16y = 0.10y + -0.3 Reorder the terms: -0.44 + 0.16y = -0.3 + 0.10y Solving -0.44 + 0.16y = -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. -0.44 + 0.16y + -0.10y = -0.3 + 0.10y + -0.10y Combine like terms: 0.16y + -0.10y = 0.06y -0.44 + 0.06y = -0.3 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.44 + 0.06y = -0.3 + 0.00 -0.44 + 0.06y = -0.3 Add '0.44' to each side of the equation. -0.44 + 0.44 + 0.06y = -0.3 + 0.44 Combine like terms: -0.44 + 0.44 = 0.00 0.00 + 0.06y = -0.3 + 0.44 0.06y = -0.3 + 0.44 Combine like terms: -0.3 + 0.44 = 0.14 0.06y = 0.14 Divide each side by '0.06'. y = 2.333333333 Simplifying y = 2.333333333
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