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Simplifying 0.18(y + -8) + 0.14y = 0.12y + -0.09(20) Reorder the terms: 0.18(-8 + y) + 0.14y = 0.12y + -0.09(20) (-8 * 0.18 + y * 0.18) + 0.14y = 0.12y + -0.09(20) (-1.44 + 0.18y) + 0.14y = 0.12y + -0.09(20) Combine like terms: 0.18y + 0.14y = 0.32y -1.44 + 0.32y = 0.12y + -0.09(20) Multiply -0.09 * 20 -1.44 + 0.32y = 0.12y + -1.8 Reorder the terms: -1.44 + 0.32y = -1.8 + 0.12y Solving -1.44 + 0.32y = -1.8 + 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. -1.44 + 0.32y + -0.12y = -1.8 + 0.12y + -0.12y Combine like terms: 0.32y + -0.12y = 0.2y -1.44 + 0.2y = -1.8 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -1.44 + 0.2y = -1.8 + 0.00 -1.44 + 0.2y = -1.8 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.2y = -1.8 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.2y = -1.8 + 1.44 0.2y = -1.8 + 1.44 Combine like terms: -1.8 + 1.44 = -0.36 0.2y = -0.36 Divide each side by '0.2'. y = -1.8 Simplifying y = -1.8
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