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Simplifying 0.06(y + -7) + 0.14y = 0.18y + -0.01(40) Reorder the terms: 0.06(-7 + y) + 0.14y = 0.18y + -0.01(40) (-7 * 0.06 + y * 0.06) + 0.14y = 0.18y + -0.01(40) (-0.42 + 0.06y) + 0.14y = 0.18y + -0.01(40) Combine like terms: 0.06y + 0.14y = 0.2y -0.42 + 0.2y = 0.18y + -0.01(40) Multiply -0.01 * 40 -0.42 + 0.2y = 0.18y + -0.4 Reorder the terms: -0.42 + 0.2y = -0.4 + 0.18y Solving -0.42 + 0.2y = -0.4 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.42 + 0.2y + -0.18y = -0.4 + 0.18y + -0.18y Combine like terms: 0.2y + -0.18y = 0.02y -0.42 + 0.02y = -0.4 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.42 + 0.02y = -0.4 + 0.00 -0.42 + 0.02y = -0.4 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.02y = -0.4 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.02y = -0.4 + 0.42 0.02y = -0.4 + 0.42 Combine like terms: -0.4 + 0.42 = 0.02 0.02y = 0.02 Divide each side by '0.02'. y = 1 Simplifying y = 1
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