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Simplifying 0.16(y + -1) + 0.10y = 0.06 + -0.03(40) Reorder the terms: 0.16(-1 + y) + 0.10y = 0.06 + -0.03(40) (-1 * 0.16 + y * 0.16) + 0.10y = 0.06 + -0.03(40) (-0.16 + 0.16y) + 0.10y = 0.06 + -0.03(40) Combine like terms: 0.16y + 0.10y = 0.26y -0.16 + 0.26y = 0.06 + -0.03(40) Multiply -0.03 * 40 -0.16 + 0.26y = 0.06 + -1.2 Combine like terms: 0.06 + -1.2 = -1.14 -0.16 + 0.26y = -1.14 Solving -0.16 + 0.26y = -1.14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.26y = -1.14 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.26y = -1.14 + 0.16 0.26y = -1.14 + 0.16 Combine like terms: -1.14 + 0.16 = -0.98 0.26y = -0.98 Divide each side by '0.26'. y = -3.769230769 Simplifying y = -3.769230769
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