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Simplifying 0.18(y + -9) + 0.12y = 0.14y + -0.03(30) Reorder the terms: 0.18(-9 + y) + 0.12y = 0.14y + -0.03(30) (-9 * 0.18 + y * 0.18) + 0.12y = 0.14y + -0.03(30) (-1.62 + 0.18y) + 0.12y = 0.14y + -0.03(30) Combine like terms: 0.18y + 0.12y = 0.3y -1.62 + 0.3y = 0.14y + -0.03(30) Multiply -0.03 * 30 -1.62 + 0.3y = 0.14y + -0.9 Reorder the terms: -1.62 + 0.3y = -0.9 + 0.14y Solving -1.62 + 0.3y = -0.9 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -1.62 + 0.3y + -0.14y = -0.9 + 0.14y + -0.14y Combine like terms: 0.3y + -0.14y = 0.16y -1.62 + 0.16y = -0.9 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -1.62 + 0.16y = -0.9 + 0.00 -1.62 + 0.16y = -0.9 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.16y = -0.9 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.16y = -0.9 + 1.62 0.16y = -0.9 + 1.62 Combine like terms: -0.9 + 1.62 = 0.72 0.16y = 0.72 Divide each side by '0.16'. y = 4.5 Simplifying y = 4.5
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