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Simplifying 0.18(y + -1) + 0.16y = 0.04y + -0.03(40) Reorder the terms: 0.18(-1 + y) + 0.16y = 0.04y + -0.03(40) (-1 * 0.18 + y * 0.18) + 0.16y = 0.04y + -0.03(40) (-0.18 + 0.18y) + 0.16y = 0.04y + -0.03(40) Combine like terms: 0.18y + 0.16y = 0.34y -0.18 + 0.34y = 0.04y + -0.03(40) Multiply -0.03 * 40 -0.18 + 0.34y = 0.04y + -1.2 Reorder the terms: -0.18 + 0.34y = -1.2 + 0.04y Solving -0.18 + 0.34y = -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. -0.18 + 0.34y + -0.04y = -1.2 + 0.04y + -0.04y Combine like terms: 0.34y + -0.04y = 0.3y -0.18 + 0.3y = -1.2 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.18 + 0.3y = -1.2 + 0.00 -0.18 + 0.3y = -1.2 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.3y = -1.2 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.3y = -1.2 + 0.18 0.3y = -1.2 + 0.18 Combine like terms: -1.2 + 0.18 = -1.02 0.3y = -1.02 Divide each side by '0.3'. y = -3.4 Simplifying y = -3.4
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