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Simplifying 0.08(y + -9) + 0.18y = 0.12y + -0.05(20) Reorder the terms: 0.08(-9 + y) + 0.18y = 0.12y + -0.05(20) (-9 * 0.08 + y * 0.08) + 0.18y = 0.12y + -0.05(20) (-0.72 + 0.08y) + 0.18y = 0.12y + -0.05(20) Combine like terms: 0.08y + 0.18y = 0.26y -0.72 + 0.26y = 0.12y + -0.05(20) Multiply -0.05 * 20 -0.72 + 0.26y = 0.12y + -1 Reorder the terms: -0.72 + 0.26y = -1 + 0.12y Solving -0.72 + 0.26y = -1 + 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. -0.72 + 0.26y + -0.12y = -1 + 0.12y + -0.12y Combine like terms: 0.26y + -0.12y = 0.14y -0.72 + 0.14y = -1 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.72 + 0.14y = -1 + 0.00 -0.72 + 0.14y = -1 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.14y = -1 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.14y = -1 + 0.72 0.14y = -1 + 0.72 Combine like terms: -1 + 0.72 = -0.28 0.14y = -0.28 Divide each side by '0.14'. y = -2 Simplifying y = -2
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