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Simplifying 0.10(y + -1) + 0.16y = 0.04y + -0.03(40) Reorder the terms: 0.10(-1 + y) + 0.16y = 0.04y + -0.03(40) (-1 * 0.10 + y * 0.10) + 0.16y = 0.04y + -0.03(40) (-0.1 + 0.10y) + 0.16y = 0.04y + -0.03(40) Combine like terms: 0.10y + 0.16y = 0.26y -0.1 + 0.26y = 0.04y + -0.03(40) Multiply -0.03 * 40 -0.1 + 0.26y = 0.04y + -1.2 Reorder the terms: -0.1 + 0.26y = -1.2 + 0.04y Solving -0.1 + 0.26y = -1.2 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.1 + 0.26y + -0.04y = -1.2 + 0.04y + -0.04y Combine like terms: 0.26y + -0.04y = 0.22y -0.1 + 0.22y = -1.2 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.1 + 0.22y = -1.2 + 0.00 -0.1 + 0.22y = -1.2 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.22y = -1.2 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.22y = -1.2 + 0.1 0.22y = -1.2 + 0.1 Combine like terms: -1.2 + 0.1 = -1.1 0.22y = -1.1 Divide each side by '0.22'. y = -5 Simplifying y = -5
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