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Simplifying 0.14(y + -6) + 0.06y = 0.16y + -0.03(40) Reorder the terms: 0.14(-6 + y) + 0.06y = 0.16y + -0.03(40) (-6 * 0.14 + y * 0.14) + 0.06y = 0.16y + -0.03(40) (-0.84 + 0.14y) + 0.06y = 0.16y + -0.03(40) Combine like terms: 0.14y + 0.06y = 0.2y -0.84 + 0.2y = 0.16y + -0.03(40) Multiply -0.03 * 40 -0.84 + 0.2y = 0.16y + -1.2 Reorder the terms: -0.84 + 0.2y = -1.2 + 0.16y Solving -0.84 + 0.2y = -1.2 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.84 + 0.2y + -0.16y = -1.2 + 0.16y + -0.16y Combine like terms: 0.2y + -0.16y = 0.04y -0.84 + 0.04y = -1.2 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.84 + 0.04y = -1.2 + 0.00 -0.84 + 0.04y = -1.2 Add '0.84' to each side of the equation. -0.84 + 0.84 + 0.04y = -1.2 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 0.04y = -1.2 + 0.84 0.04y = -1.2 + 0.84 Combine like terms: -1.2 + 0.84 = -0.36 0.04y = -0.36 Divide each side by '0.04'. y = -9 Simplifying y = -9
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