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Simplifying 0.18(y + -9) + 0.08y = 0.10y + -15 Reorder the terms: 0.18(-9 + y) + 0.08y = 0.10y + -15 (-9 * 0.18 + y * 0.18) + 0.08y = 0.10y + -15 (-1.62 + 0.18y) + 0.08y = 0.10y + -15 Combine like terms: 0.18y + 0.08y = 0.26y -1.62 + 0.26y = 0.10y + -15 Reorder the terms: -1.62 + 0.26y = -15 + 0.10y Solving -1.62 + 0.26y = -15 + 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. -1.62 + 0.26y + -0.10y = -15 + 0.10y + -0.10y Combine like terms: 0.26y + -0.10y = 0.16y -1.62 + 0.16y = -15 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -1.62 + 0.16y = -15 + 0.00 -1.62 + 0.16y = -15 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.16y = -15 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.16y = -15 + 1.62 0.16y = -15 + 1.62 Combine like terms: -15 + 1.62 = -13.38 0.16y = -13.38 Divide each side by '0.16'. y = -83.625 Simplifying y = -83.625
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