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Simplifying 0.06(y + -1) + 0.12y = 0.14y + -0.01(40) Reorder the terms: 0.06(-1 + y) + 0.12y = 0.14y + -0.01(40) (-1 * 0.06 + y * 0.06) + 0.12y = 0.14y + -0.01(40) (-0.06 + 0.06y) + 0.12y = 0.14y + -0.01(40) Combine like terms: 0.06y + 0.12y = 0.18y -0.06 + 0.18y = 0.14y + -0.01(40) Multiply -0.01 * 40 -0.06 + 0.18y = 0.14y + -0.4 Reorder the terms: -0.06 + 0.18y = -0.4 + 0.14y Solving -0.06 + 0.18y = -0.4 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.06 + 0.18y + -0.14y = -0.4 + 0.14y + -0.14y Combine like terms: 0.18y + -0.14y = 0.04y -0.06 + 0.04y = -0.4 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.06 + 0.04y = -0.4 + 0.00 -0.06 + 0.04y = -0.4 Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.04y = -0.4 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.04y = -0.4 + 0.06 0.04y = -0.4 + 0.06 Combine like terms: -0.4 + 0.06 = -0.34 0.04y = -0.34 Divide each side by '0.04'. y = -8.5 Simplifying y = -8.5
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