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Simplifying 0.06(y + -6) + 0.14y = 0.04y + -0.03(60) Reorder the terms: 0.06(-6 + y) + 0.14y = 0.04y + -0.03(60) (-6 * 0.06 + y * 0.06) + 0.14y = 0.04y + -0.03(60) (-0.36 + 0.06y) + 0.14y = 0.04y + -0.03(60) Combine like terms: 0.06y + 0.14y = 0.2y -0.36 + 0.2y = 0.04y + -0.03(60) Multiply -0.03 * 60 -0.36 + 0.2y = 0.04y + -1.8 Reorder the terms: -0.36 + 0.2y = -1.8 + 0.04y Solving -0.36 + 0.2y = -1.8 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.36 + 0.2y + -0.04y = -1.8 + 0.04y + -0.04y Combine like terms: 0.2y + -0.04y = 0.16y -0.36 + 0.16y = -1.8 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.36 + 0.16y = -1.8 + 0.00 -0.36 + 0.16y = -1.8 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.16y = -1.8 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.16y = -1.8 + 0.36 0.16y = -1.8 + 0.36 Combine like terms: -1.8 + 0.36 = -1.44 0.16y = -1.44 Divide each side by '0.16'. y = -9 Simplifying y = -9
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