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Simplifying 0.18(y + -7) + 0.14y = 0.20y + -0.07(30) Reorder the terms: 0.18(-7 + y) + 0.14y = 0.20y + -0.07(30) (-7 * 0.18 + y * 0.18) + 0.14y = 0.20y + -0.07(30) (-1.26 + 0.18y) + 0.14y = 0.20y + -0.07(30) Combine like terms: 0.18y + 0.14y = 0.32y -1.26 + 0.32y = 0.20y + -0.07(30) Multiply -0.07 * 30 -1.26 + 0.32y = 0.20y + -2.1 Reorder the terms: -1.26 + 0.32y = -2.1 + 0.20y Solving -1.26 + 0.32y = -2.1 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -1.26 + 0.32y + -0.20y = -2.1 + 0.20y + -0.20y Combine like terms: 0.32y + -0.20y = 0.12y -1.26 + 0.12y = -2.1 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -1.26 + 0.12y = -2.1 + 0.00 -1.26 + 0.12y = -2.1 Add '1.26' to each side of the equation. -1.26 + 1.26 + 0.12y = -2.1 + 1.26 Combine like terms: -1.26 + 1.26 = 0.00 0.00 + 0.12y = -2.1 + 1.26 0.12y = -2.1 + 1.26 Combine like terms: -2.1 + 1.26 = -0.84 0.12y = -0.84 Divide each side by '0.12'. y = -7 Simplifying y = -7
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