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Simplifying 0.10(y + -8) + 0.18y = 0.12y + -0.03(40) Reorder the terms: 0.10(-8 + y) + 0.18y = 0.12y + -0.03(40) (-8 * 0.10 + y * 0.10) + 0.18y = 0.12y + -0.03(40) (-0.8 + 0.10y) + 0.18y = 0.12y + -0.03(40) Combine like terms: 0.10y + 0.18y = 0.28y -0.8 + 0.28y = 0.12y + -0.03(40) Multiply -0.03 * 40 -0.8 + 0.28y = 0.12y + -1.2 Reorder the terms: -0.8 + 0.28y = -1.2 + 0.12y Solving -0.8 + 0.28y = -1.2 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.8 + 0.28y + -0.12y = -1.2 + 0.12y + -0.12y Combine like terms: 0.28y + -0.12y = 0.16y -0.8 + 0.16y = -1.2 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.8 + 0.16y = -1.2 + 0.00 -0.8 + 0.16y = -1.2 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.16y = -1.2 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.16y = -1.2 + 0.8 0.16y = -1.2 + 0.8 Combine like terms: -1.2 + 0.8 = -0.4 0.16y = -0.4 Divide each side by '0.16'. y = -2.5 Simplifying y = -2.5
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