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Simplifying 0.16(y + -2) + 0.20y = 0.06y + -0.05(10) Reorder the terms: 0.16(-2 + y) + 0.20y = 0.06y + -0.05(10) (-2 * 0.16 + y * 0.16) + 0.20y = 0.06y + -0.05(10) (-0.32 + 0.16y) + 0.20y = 0.06y + -0.05(10) Combine like terms: 0.16y + 0.20y = 0.36y -0.32 + 0.36y = 0.06y + -0.05(10) Multiply -0.05 * 10 -0.32 + 0.36y = 0.06y + -0.5 Reorder the terms: -0.32 + 0.36y = -0.5 + 0.06y Solving -0.32 + 0.36y = -0.5 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.32 + 0.36y + -0.06y = -0.5 + 0.06y + -0.06y Combine like terms: 0.36y + -0.06y = 0.3y -0.32 + 0.3y = -0.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.32 + 0.3y = -0.5 + 0.00 -0.32 + 0.3y = -0.5 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.3y = -0.5 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.3y = -0.5 + 0.32 0.3y = -0.5 + 0.32 Combine like terms: -0.5 + 0.32 = -0.18 0.3y = -0.18 Divide each side by '0.3'. y = -0.6 Simplifying y = -0.6
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