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Simplifying 0.18(y + -2) + 0.16y = 0.10y + -0.03(60) Reorder the terms: 0.18(-2 + y) + 0.16y = 0.10y + -0.03(60) (-2 * 0.18 + y * 0.18) + 0.16y = 0.10y + -0.03(60) (-0.36 + 0.18y) + 0.16y = 0.10y + -0.03(60) Combine like terms: 0.18y + 0.16y = 0.34y -0.36 + 0.34y = 0.10y + -0.03(60) Multiply -0.03 * 60 -0.36 + 0.34y = 0.10y + -1.8 Reorder the terms: -0.36 + 0.34y = -1.8 + 0.10y Solving -0.36 + 0.34y = -1.8 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.36 + 0.34y + -0.10y = -1.8 + 0.10y + -0.10y Combine like terms: 0.34y + -0.10y = 0.24y -0.36 + 0.24y = -1.8 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.36 + 0.24y = -1.8 + 0.00 -0.36 + 0.24y = -1.8 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.24y = -1.8 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.24y = -1.8 + 0.36 0.24y = -1.8 + 0.36 Combine like terms: -1.8 + 0.36 = -1.44 0.24y = -1.44 Divide each side by '0.24'. y = -6 Simplifying y = -6
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