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Simplifying 0.14(y + -6) + 0.20y = 0.10y + -0.07(30) Reorder the terms: 0.14(-6 + y) + 0.20y = 0.10y + -0.07(30) (-6 * 0.14 + y * 0.14) + 0.20y = 0.10y + -0.07(30) (-0.84 + 0.14y) + 0.20y = 0.10y + -0.07(30) Combine like terms: 0.14y + 0.20y = 0.34y -0.84 + 0.34y = 0.10y + -0.07(30) Multiply -0.07 * 30 -0.84 + 0.34y = 0.10y + -2.1 Reorder the terms: -0.84 + 0.34y = -2.1 + 0.10y Solving -0.84 + 0.34y = -2.1 + 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. -0.84 + 0.34y + -0.10y = -2.1 + 0.10y + -0.10y Combine like terms: 0.34y + -0.10y = 0.24y -0.84 + 0.24y = -2.1 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.84 + 0.24y = -2.1 + 0.00 -0.84 + 0.24y = -2.1 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.24y = -2.1 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.24y = -2.1 + 0.84 0.24y = -2.1 + 0.84 Combine like terms: -2.1 + 0.84 = -1.26 0.24y = -1.26 Divide each side by '0.24'. y = -5.25 Simplifying y = -5.25
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