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Simplifying 0.18(y + -9) + 0.04y = 0.12y + -0.03(40) Reorder the terms: 0.18(-9 + y) + 0.04y = 0.12y + -0.03(40) (-9 * 0.18 + y * 0.18) + 0.04y = 0.12y + -0.03(40) (-1.62 + 0.18y) + 0.04y = 0.12y + -0.03(40) Combine like terms: 0.18y + 0.04y = 0.22y -1.62 + 0.22y = 0.12y + -0.03(40) Multiply -0.03 * 40 -1.62 + 0.22y = 0.12y + -1.2 Reorder the terms: -1.62 + 0.22y = -1.2 + 0.12y Solving -1.62 + 0.22y = -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. -1.62 + 0.22y + -0.12y = -1.2 + 0.12y + -0.12y Combine like terms: 0.22y + -0.12y = 0.1y -1.62 + 0.1y = -1.2 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -1.62 + 0.1y = -1.2 + 0.00 -1.62 + 0.1y = -1.2 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.1y = -1.2 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.1y = -1.2 + 1.62 0.1y = -1.2 + 1.62 Combine like terms: -1.2 + 1.62 = 0.42 0.1y = 0.42 Divide each side by '0.1'. y = 4.2 Simplifying y = 4.2
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