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Simplifying 0.16(y + -1) + 0.08 = 0.20 + -0.30(10) Reorder the terms: 0.16(-1 + y) + 0.08 = 0.20 + -0.30(10) (-1 * 0.16 + y * 0.16) + 0.08 = 0.20 + -0.30(10) (-0.16 + 0.16y) + 0.08 = 0.20 + -0.30(10) Reorder the terms: -0.16 + 0.08 + 0.16y = 0.20 + -0.30(10) Combine like terms: -0.16 + 0.08 = -0.08 -0.08 + 0.16y = 0.20 + -0.30(10) Multiply -0.30 * 10 -0.08 + 0.16y = 0.20 + -3 Combine like terms: 0.20 + -3 = -2.8 -0.08 + 0.16y = -2.8 Solving -0.08 + 0.16y = -2.8 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 + 0.16y = -2.8 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.16y = -2.8 + 0.08 0.16y = -2.8 + 0.08 Combine like terms: -2.8 + 0.08 = -2.72 0.16y = -2.72 Divide each side by '0.16'. y = -17 Simplifying y = -17
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