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Simplifying 0.14(y + -7) + 0.10y = 0.02y + -0.03(40) Reorder the terms: 0.14(-7 + y) + 0.10y = 0.02y + -0.03(40) (-7 * 0.14 + y * 0.14) + 0.10y = 0.02y + -0.03(40) (-0.98 + 0.14y) + 0.10y = 0.02y + -0.03(40) Combine like terms: 0.14y + 0.10y = 0.24y -0.98 + 0.24y = 0.02y + -0.03(40) Multiply -0.03 * 40 -0.98 + 0.24y = 0.02y + -1.2 Reorder the terms: -0.98 + 0.24y = -1.2 + 0.02y Solving -0.98 + 0.24y = -1.2 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.98 + 0.24y + -0.02y = -1.2 + 0.02y + -0.02y Combine like terms: 0.24y + -0.02y = 0.22y -0.98 + 0.22y = -1.2 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.98 + 0.22y = -1.2 + 0.00 -0.98 + 0.22y = -1.2 Add '0.98' to each side of the equation. -0.98 + 0.98 + 0.22y = -1.2 + 0.98 Combine like terms: -0.98 + 0.98 = 0.00 0.00 + 0.22y = -1.2 + 0.98 0.22y = -1.2 + 0.98 Combine like terms: -1.2 + 0.98 = -0.22 0.22y = -0.22 Divide each side by '0.22'. y = -1 Simplifying y = -1
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