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Simplifying 0.14(y + -1) + 0.18y = 0.06y + -0.01(40) Reorder the terms: 0.14(-1 + y) + 0.18y = 0.06y + -0.01(40) (-1 * 0.14 + y * 0.14) + 0.18y = 0.06y + -0.01(40) (-0.14 + 0.14y) + 0.18y = 0.06y + -0.01(40) Combine like terms: 0.14y + 0.18y = 0.32y -0.14 + 0.32y = 0.06y + -0.01(40) Multiply -0.01 * 40 -0.14 + 0.32y = 0.06y + -0.4 Reorder the terms: -0.14 + 0.32y = -0.4 + 0.06y Solving -0.14 + 0.32y = -0.4 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.14 + 0.32y + -0.06y = -0.4 + 0.06y + -0.06y Combine like terms: 0.32y + -0.06y = 0.26y -0.14 + 0.26y = -0.4 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.14 + 0.26y = -0.4 + 0.00 -0.14 + 0.26y = -0.4 Add '0.14' to each side of the equation. -0.14 + 0.14 + 0.26y = -0.4 + 0.14 Combine like terms: -0.14 + 0.14 = 0.00 0.00 + 0.26y = -0.4 + 0.14 0.26y = -0.4 + 0.14 Combine like terms: -0.4 + 0.14 = -0.26 0.26y = -0.26 Divide each side by '0.26'. y = -1 Simplifying y = -1
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